1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.
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Transcript of 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.
![Page 1: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/1.jpg)
1.) Write an equation to find the measure of ∠srz & ∠srn.
Answer
![Page 2: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/2.jpg)
#1.) Answer:
m srn = 62°Equation: 5x - 27 = 3x + 31
![Page 3: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/3.jpg)
The perimeter of a triangle is 39 inches. Side A is three time longer than Side B. Side C is six inches less than Side B. Write an equation to find each side length.
Answer
#2: Find A, B, and C
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Equation: 3b + b + b – 6 = 39 A = 27 in.B = 9 in.C = 3 in.
#2 Answer:
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#3.) Write an equation to find the measure of the sum of the angles for the polygon below.
Answer
![Page 6: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/6.jpg)
#3.) Answer:
Equation: d = 180(10 - 2)
1,440°DECAGON
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#4.) Chris claims that if a shape has two sets of parallel lines, the shape has to be a parallelogram.
Answer
![Page 8: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/8.jpg)
#4 Answer
Chris is correct because a rhombus, square, rectangle, and parallelogram all have this characteristic. Therefore, all of them are considered parallelograms.
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#5.) Write an equation to find x and the 3 missing angles.
105 °
100 °
(3x) °92°
(2x + 40) °
(2x + 40) °
124 °
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#5.) Answer:
Equation:2x + 40 + 2x + 40 + 92 + 105 + 3x + 124 + 100 = 900
x = 57(2x + 40)° = 154° (3x)° = 171°
![Page 11: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/11.jpg)
#6.) Adam marked a pair of alternate interior angles green and a pair of corresponding angles red. Is Adam correct?
Answer
un
z
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#6 Answer: Adam is not correct on both parts. He marked the pair of corresponding angles correctly, but not the pair of alternate interior angles. Alternate interior angles are congruent and on opposite sides of the transversal.
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7.) Write an equation to find the m∠wrb and m∠wrl.
Answer
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#7.) Answer:• m ∠wrb = 32˚•m ∠wrl = 148˚• Equation: 6x + 4 + 2x – 16 = 180
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8.) Write an equation to find m∠ftb & m ∠btp.
Answer
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#8.) Answer:m ∠ftb = 107°m ∠btp = 73° Equation: 5x – 18 = 4x + 7
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#9.) Write an equation to find the # of sides in a polygon whose angle measures have a sum of 2,340°.
Answer
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#9 Answer:
Equation: 2340 = 180(n – 2)
15 sides
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10.) Write an equation to find m lun & m lud.
Answer
u
n
z
d
(3x – 35)°
(2x – 12)°
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#10 Answer
m lun = 34° m lud = 146°Equation: 2x – 12 = 3x - 35
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#11.) Name 3 things a trapezoid and a parallelogram have in common.
Answer
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#11.) Answer:
1.) They both have 4 sides.2.) The sums of their angles are both 360°.3.) They both have at least one pair of parallel sides.
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#12.) If m 4 = 40°. What is the measurement of
angle 5? Explain. 1
2
74
38
65
Answer
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#12 Answer:
405because it is the alternate exterior
angle to angle 4.
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#13.) If m 4 = 40°. What is the measurement of
angle 7? Explain. 1
2
74
38
65
Answer
![Page 26: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/26.jpg)
#13 Answer:
407because it is a vertical
angle to angle 4.
![Page 27: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/27.jpg)
#14.) If m 4 = 40°. What is the measurement of
angle 2? Explain. 1
2
74
38
65
Answer
![Page 28: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/28.jpg)
#14 Answer:
402because it is a corresponding
angle to angle 4.
![Page 29: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/29.jpg)
#15.) If m 4 = 40°. What is the measurement of
angle 3? Explain. 1
2
74
38
65
Answer
![Page 30: 1.) Write an equation to find the measure of ∠srz & ∠srn. Answer.](https://reader033.fdocuments.net/reader033/viewer/2022050914/5a4d1afa7f8b9ab059983902/html5/thumbnails/30.jpg)
#15 Answer:
1403because it is supplementary
with angle 4.