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17 June, 09:42

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Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle. What is the measure of the angle?

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The measure of the angle is

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  1. 17 June, 11:39
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    The measure of the angle is 36°

    Step-by-step explanation:

    Let the measure of angle be x

    Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

    So, Supplement of x = 180°-x°

    Complementary angles A pair of angles whose sum is 90° is called complementary angles

    So, Complement of x = 90°-x°

    We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

    So, 3 (180-x) = 8 (90-x)

    540-3x=720-8x

    8x-3x=720-540

    5x=180

    x=36

    So, the measure of the angle is 36°
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