# Spectrum Math Grade 7 Chapter 5 Lesson 8 Answer Key Problem Solving

This handy Spectrum Math Grade 7 Answer Key Chapter 5 Lesson 5.8 Problem SolvingĀ provides detailed answers for the workbook questions

## Spectrum Math Grade 7 Chapter 5 Lesson 5.8 Problem Solving Answers Key

Use angle relationships to solve the problems.

Question 1.
Find the measure of angle z.

145Ā°

Explanation:
Supplementary angles are two angles whose measures have a sum of 180Ā°.
ā z and ā 35Ā° are supplementary angles.
ā z = 180Ā° ā 35Ā°
ā z = 145Ā°

Question 2.
Find the measure of angle r.

75Ā°

Explanation:
A straight angle is an angle equal to 180 degrees.
It is called straight because it appears as a straight line.
30Ā° + r + 75Ā° = 180Ā°
r = 180Ā° -(30Ā° + 75Ā°)
r = 180Ā° -(105Ā°)
r = 75Ā°

Question 3.
Find the measure of angle s.

35Ā°

Explanation:
ā s and ā 55Ā° are complementary angles.
ā s = 90Ā° ā ā 55Ā°
ā s = 90Ā° ā 55Ā°
ā sĀ  = 35Ā°

Question 4.
Find the measure of angle w.

110Ā°

Explanation:
ā w and ā 110Ā° are vertical.
ā w = ā 110Ā°

Question 5.
Find the measure of angle p.

98Ā°

Explanation:
A straight angle is an angle equal to 180 degrees.
It is called straight because it appears as a straight line.
82Ā° + p = 180Ā°
p = 180Ā° – 82Ā°
r = 98Ā°

Question 6.
Find the measure of angle g.