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5 November, 11:06

The measure of angle A is 70.8°. Find the measures of the complement and supplement of angle A.

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  1. 5 November, 11:41
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    We are given the angle A is 70.8 degrees

    Sum of an angle and its supplement angle is 180 degrees.

    let us say A' is supplementary angle of A

    so we have A+A'=180

    70.8+A' = 180

    A'=180-70.8

    So supplement angle is A'=109.2 degrees

    Two angles are complementary if sum of the angle and its complement is 90 degrees.

    let us say complementary angle of A is "a".

    A+a = 90

    70.8+a=90

    a=90-70.8 = 19.2

    Complementary angle of A is 19.2 degrees.
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