∡C and ∡D are supplementary angles. If m∡D is nine less than twice m∡C, find m∡D.

Question

∡C and ∡D are supplementary angles. If m∡D is nine less than twice m∡C, find m∡D.

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RuslanHeatt 5 years 2021-07-20T10:10:20+00:00 1 Answers 118 views 0

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  1. Orla
    0
    2021-07-20T10:11:39+00:00
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    Answer:

    D is 117

    Step-by-step explanation:

    Let the measure of angle C be x

    The measure of D is 9 less than twice C

    Mathematically that is 2x-9

    If both are supplementary, they add up to be 180

    Thus;

    x + 2x – 9 = 180

    3x = 180 + 9

    x = 189/3

    x = 63

    Recall;

    D = 2x-9= 2(63) -9 = 126 -9 = 117

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