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 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°