This handy **Spectrum Math Grade 7 Answer Key Chapter 5 Lesson 5.8 Problem Solving** 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.

Answer:

145°

Explanation:

Supplementary angles are two angles whose measures have a sum of 180°.

∠z and ∠35° are supplementary angles.

∠z = 180° – 35°

∠z = 145°

Question 2.

Find the measure of angle r.

Answer:

75°

Explanation:

A straight angle is an angle equal to 180 degrees.

It is called straight because it appears as a straight line.

30° + r + 75° = 180°

r = 180° -(30° + 75°)

r = 180° -(105°)

r = 75°

Question 3.

Find the measure of angle s.

Answer:

35°

Explanation:

∠s and ∠55° are complementary angles.

∠s = 90° – ∠55°

∠s = 90° – 55°

∠s = 35°

Question 4.

Find the measure of angle w.

Answer:

110°

Explanation:

∠w and ∠110° are vertical.

∠w = ∠110°

Question 5.

Find the measure of angle p.

Answer:

98°

Explanation:

A straight angle is an angle equal to 180 degrees.

It is called straight because it appears as a straight line.

82° + p = 180°

p = 180° – 82°

r = 98°

Question 6.

Find the measure of angle g.

Answer:

58°

Explanation:

The sum of internal angle of a triangle is 180°.

180° = 32° + 90° + g

g = 180° – 122°

g = 58°