pre.al.

find the measure of an angle if the sum of the measures of its complement and supplement is 162 degrees.

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  1. Let X = the angle.
    90 - X = the complementary angle.
    180 - X = the supplementary angle.

    We add those together to get the sum equal to 162 degrees.
    (90 - X) + (180 - X) = 162
    and solve for X.

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  2. An angle measures 162° more than the measure of its supplementary angle. What is the measure of each angle?

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