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22 August, 17:32

A supplement of a given angle is 4 times as large as the complement of the angle. what is the measure of the angle?

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  1. 22 August, 20:53
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    Supplementary angles add to 180 while complementary angles add to 90 degrees.

    (180-x) = 4 (90-x)

    Distribute on the right

    180-x=360-4x

    Add 4x to both sides

    180+3x=360

    Subtract 180 from both sides

    3x=180

    Divide both sides by 3

    x=60

    Final answer: 60 degrees
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