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8-90.

Find the value of each variable in the following figures. Do not use a protractor. Use the properties of angles to help you.  Homework Help ✎

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    . Solve for .

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    These angles are supplementary.

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

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    Set up an equation relating and . .

    Subtract from both sides.

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    and are complementary angles, meaning their sum is .

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    and are vertical angles, and and are supplementary.

    ,

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

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    . Now solve for the value of .