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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.

  1. Two adjacent angles together form a line. The angle on the left is, 80 degrees. The angle on the right is, A.

    These angles are supplementary.

  1. 2 intersecting lines. About the point of intersection, are angles, starting at the top and going clockwise, labeled as follows: blank, B, blank, 43.

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

  1. Two adjacent angles together form a line. The angle on the left is, 133 degrees. The angle on the right is, C.

Set up an equation relating and d.
.

Subtract 133° from both sides.
°.

47°

  1. 2 intersecting lines. About the point of intersection, 148 degrees and angle, D, are vertical angles. Angle, F, is between the two.

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

  1. Two adjacent angles together form a line. The angles are, 111, and, E.

    . Refer to part (c) for the steps to solving this problem.