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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. These angles are supplementary.

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

Set up an equation relating and d.

Subtract 133° from both sides.


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

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