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9-34.

For each diagram below, identify each set of angles as complementary, supplementary, or vertical. Then use what you know about the properties of angles to find the measure of each angle labeled with a variable.  Homework Help ✎

  1. diagram

    Write an equation relating and .

    Subtract from both sides.

    ; they are complementary angles

  1. diagram

    These angles are supplementary, so . What is the measure of ?

  1. diagram

    e and are vertical angles, so they are equal in measure. and are also vertical angles.

    Angle is . Use this to help you find and .

  1. diagram

    Use part (a) to help you solve this problem.