Geometry Section 6-1 1112
-
Upload
jimbo-lamb -
Category
Education
-
view
1.101 -
download
0
description
Transcript of Geometry Section 6-1 1112
![Page 1: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/1.jpg)
Chapter 6Quadrilaterals
Created at wordle.net
Tuesday, April 10, 2012
![Page 2: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/2.jpg)
Section 6-1Angles of Polygons
Tuesday, April 10, 2012
![Page 3: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/3.jpg)
Essential Questions
How do you find and use the sum of the measures of the interior angles of a polygon?
How do you find and use the sum of the measures of the exterior angles of a polygon?
Tuesday, April 10, 2012
![Page 4: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/4.jpg)
Vocabulary
1. Diagonal:
Tuesday, April 10, 2012
![Page 5: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/5.jpg)
Vocabulary
1. Diagonal: A segment in a polygon that connects a vertex with another vertex that is nonconsecutive
Tuesday, April 10, 2012
![Page 6: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/6.jpg)
Theorems
6.1 - Polygon Interior Angles Sum:
6.2 - Polygon Exterior Angles Sum:
Tuesday, April 10, 2012
![Page 7: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/7.jpg)
Theorems
6.1 - Polygon Interior Angles Sum: The sum of the interior angle measures of a convex polygon with n sides is found with the formula
S = (n−2)180
6.2 - Polygon Exterior Angles Sum:
Tuesday, April 10, 2012
![Page 8: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/8.jpg)
Theorems
6.1 - Polygon Interior Angles Sum: The sum of the interior angle measures of a convex polygon with n sides is found with the formula
S = (n−2)180
6.2 - Polygon Exterior Angles Sum: The sum of the exterior angle measures of a convex polygon, one at each vertex, is 360°
Tuesday, April 10, 2012
![Page 9: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/9.jpg)
Polygons and Sides
Tuesday, April 10, 2012
![Page 10: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/10.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Tuesday, April 10, 2012
![Page 11: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/11.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Tuesday, April 10, 2012
![Page 12: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/12.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Tuesday, April 10, 2012
![Page 13: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/13.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 8 9 10 12 n
Name Octagon Nonagon Decagon Dodecagon n-gon
Tuesday, April 10, 2012
![Page 14: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/14.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 8 9 10 12 n
Name Octagon Nonagon Decagon Dodecagon n-gon
Tuesday, April 10, 2012
![Page 15: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/15.jpg)
Polygons and Sides
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 3 4 5 6 7
Name Triangle Quadrilateral Pentagon Hexagon Heptagon
Types of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of PolygonsTypes of Polygons
# sides 8 9 10 12 n
Name Octagon Nonagon Decagon Dodecagon n-gon
Tuesday, April 10, 2012
![Page 16: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/16.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
Tuesday, April 10, 2012
![Page 17: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/17.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
Tuesday, April 10, 2012
![Page 18: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/18.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
Tuesday, April 10, 2012
![Page 19: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/19.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
Tuesday, April 10, 2012
![Page 20: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/20.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
=1260°
Tuesday, April 10, 2012
![Page 21: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/21.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
=1260°
S = (n−2)180
Tuesday, April 10, 2012
![Page 22: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/22.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
=1260°
S = (n−2)180
S = (17−2)180
Tuesday, April 10, 2012
![Page 23: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/23.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
=1260°
S = (n−2)180
S = (17−2)180
= (15)180
Tuesday, April 10, 2012
![Page 24: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/24.jpg)
Example 1Find the sum of the measures of the interior angles of the following.
a. Nonagon b. 17-gon
S = (n−2)180
S = (9−2)180
= (7)180
=1260°
S = (n−2)180
S = (17−2)180
= (15)180
=2700°
Tuesday, April 10, 2012
![Page 25: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/25.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
Tuesday, April 10, 2012
![Page 26: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/26.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
Tuesday, April 10, 2012
![Page 27: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/27.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
Tuesday, April 10, 2012
![Page 28: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/28.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180
Tuesday, April 10, 2012
![Page 29: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/29.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
Tuesday, April 10, 2012
![Page 30: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/30.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360
Tuesday, April 10, 2012
![Page 31: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/31.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
Tuesday, April 10, 2012
![Page 32: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/32.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8
Tuesday, April 10, 2012
![Page 33: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/33.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352
Tuesday, April 10, 2012
![Page 34: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/34.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
Tuesday, April 10, 2012
![Page 35: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/35.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11Tuesday, April 10, 2012
![Page 36: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/36.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11
m∠R = m∠T =5(11)
Tuesday, April 10, 2012
![Page 37: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/37.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11
m∠R = m∠T =5(11) =55°
Tuesday, April 10, 2012
![Page 38: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/38.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11
m∠R = m∠T =5(11) =55°
m∠S = m∠U =11(11)+4
Tuesday, April 10, 2012
![Page 39: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/39.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11
m∠R = m∠T =5(11) =55°
m∠S = m∠U =11(11)+4 =121+4
Tuesday, April 10, 2012
![Page 40: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/40.jpg)
Example 2Find the measure of each interior angle of parallelogram RSTU.
S = (n−2)180
S = (4−2)180
= (2)180 =360°
11x +4+5x +11x +4+5x =360 32x +8=360
−8 −8 32x =352 32 32
x =11
m∠R = m∠T =5(11) =55°
m∠S = m∠U =11(11)+4 =121+4 =125°
Tuesday, April 10, 2012
![Page 41: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/41.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
Tuesday, April 10, 2012
![Page 42: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/42.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
Tuesday, April 10, 2012
![Page 43: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/43.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
S = (8−2)180
Tuesday, April 10, 2012
![Page 44: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/44.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
S = (8−2)180
= (6)180
Tuesday, April 10, 2012
![Page 45: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/45.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
S = (8−2)180
= (6)180
=1080°
Tuesday, April 10, 2012
![Page 46: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/46.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
S = (8−2)180
= (6)180
=1080° 1080°
8
Tuesday, April 10, 2012
![Page 47: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/47.jpg)
Example 3Park City Mall is designed so that eight walkways meet in a central area in
the shape of a regular octagon. Find the measure of one of the interior angles of the octagon.
http://www.parkcitycenter.com/directory
S = (n−2)180
S = (8−2)180
= (6)180
=1080° 1080°
8 =135°
Tuesday, April 10, 2012
![Page 48: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/48.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
Tuesday, April 10, 2012
![Page 49: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/49.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
Tuesday, April 10, 2012
![Page 50: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/50.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360
Tuesday, April 10, 2012
![Page 51: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/51.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360 −180n −180n
Tuesday, April 10, 2012
![Page 52: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/52.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360 −180n −180n
−30n = −360
Tuesday, April 10, 2012
![Page 53: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/53.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360 −180n −180n
−30n = −360 −30 −30
Tuesday, April 10, 2012
![Page 54: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/54.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360 −180n −180n
−30n = −360 −30 −30
n =12
Tuesday, April 10, 2012
![Page 55: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/55.jpg)
Example 4The measure of an interior angle of a regular polygon is 150°. Find the
number of sides in the polygon.
150n = (n−2)180
150n =180n−360 −180n −180n
−30n = −360 −30 −30
n =12
There are 12 sides to the polygon
Tuesday, April 10, 2012
![Page 56: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/56.jpg)
Example 5Find the value of x in the diagram.
m∠1=5x +5, m∠2=5x, m∠3= 4x −6, m∠4=5x −5, m∠5= 4x +3, m∠6=6x −12, m∠7=2x +3
Tuesday, April 10, 2012
![Page 57: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/57.jpg)
Example 5Find the value of x in the diagram.
m∠1=5x +5, m∠2=5x, m∠3= 4x −6, m∠4=5x −5, m∠5= 4x +3, m∠6=6x −12, m∠7=2x +3
5x +5+5x +4x −6+5x −5+4x +3+6x −12+2x +3=360
Tuesday, April 10, 2012
![Page 58: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/58.jpg)
Example 5Find the value of x in the diagram.
m∠1=5x +5, m∠2=5x, m∠3= 4x −6, m∠4=5x −5, m∠5= 4x +3, m∠6=6x −12, m∠7=2x +3
5x +5+5x +4x −6+5x −5+4x +3+6x −12+2x +3=360 31x −12=360
Tuesday, April 10, 2012
![Page 59: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/59.jpg)
Example 5Find the value of x in the diagram.
m∠1=5x +5, m∠2=5x, m∠3= 4x −6, m∠4=5x −5, m∠5= 4x +3, m∠6=6x −12, m∠7=2x +3
5x +5+5x +4x −6+5x −5+4x +3+6x −12+2x +3=360 31x −12=360
31x =372
Tuesday, April 10, 2012
![Page 60: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/60.jpg)
Example 5Find the value of x in the diagram.
m∠1=5x +5, m∠2=5x, m∠3= 4x −6, m∠4=5x −5, m∠5= 4x +3, m∠6=6x −12, m∠7=2x +3
5x +5+5x +4x −6+5x −5+4x +3+6x −12+2x +3=360 31x −12=360
31x =372 x =12
Tuesday, April 10, 2012
![Page 61: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/61.jpg)
Check Your Understanding
Review #1-11 on p. 393
Tuesday, April 10, 2012
![Page 62: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/62.jpg)
Problem Set
Tuesday, April 10, 2012
![Page 63: Geometry Section 6-1 1112](https://reader034.fdocuments.net/reader034/viewer/2022042714/54b2b8064a7959a15d8b45c2/html5/thumbnails/63.jpg)
Problem Set
p. 394 #13-37 odd, 49, 59
"They can because they think they can." - VirgilTuesday, April 10, 2012