Interior and Exterior Angles (6.1/6.2). 6. 1 Interior Angles in Convex Polygons Essential Question:...
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Transcript of Interior and Exterior Angles (6.1/6.2). 6. 1 Interior Angles in Convex Polygons Essential Question:...
POLYGONS AND QUADRILATERALS
Interior and Exterior Angles (6.1/6.2)
6. 1 Interior Angles in Convex PolygonsEssential Question: How can you
determine the number of degrees in any polygon?
Angles in a ∆ add to 180
An angle inside a polygon
22*180=36033*180=540
Sum= (n-2) *180
Has all congruent sides and angles
angle= (n-2)*180 n
Sum= (n-2)*180
Angle= (n-2)*180 N
A= (9-2)*180 9
A= 1260/9A= 140
Sum= (n-2)*180
Angle= (n-2)*180 N
1980= (n-2)*18011=n-213=n
Sum= (n-2)*180
Angle= (n-2)*180 N
135 = (n-2)*180 n
135n= (n-2)*180135n= 180n – 360 -45n= -360n=8
5 minTechnology Break
6. 2 Exterior Angles in Convex PolygonsEssential Question: What is an
exterior angle of a polygon?
Angle between side of a polygon and an adjacent side extended outward
The sum of the exterior angles of a convex polygon is 360
70+60+65+40+y=360y= 360 – 235y=125
360/7=x51.43 = x
360
Plicker Exit SlipQuestion 1 Question 2If the sum of the
interior angles of a shape is 1620, how many sides does it have?
A)7B)9C)11D)13
The measure of each exterior angle in a pentagon is 2y. Solve for y.
A)2.5B)36C)54D)180
Homework
6.1 evens 6.2 all