### Home > CC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-130

8-130.

Find the value of each indicated angle in the following figures. Do not use a protractor. Use the properties of straight and vertical angles to help you. Homework Help ✎

a.

b.

c.

d.

e.

These angles are supplementary. 180° - 80° = a

43° and b are vertical angles. What does that tell you about the measure of angle b?

Set up an equation relating 133° and d.

133° + c = 180°.

Subtract 133° from both sides.

133° + c = 180°.

−133° −133°

c = 47°

47°

d and 148° are vertical angles, and f and 148° are supplementary.

d = 148°: f = 32°

111° + e = 180°. Refer to part (c) for the steps to solving this problem.