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24 January, 18:23

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure of the first angle is 6 ° less than three times the measure of the second.

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  1. 24 January, 20:28
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    Let the second angle be x.

    Second angle = x

    First angle = 3x - 6

    The sum of the two angles is 180°

    x + 3x - 6 = 180

    4x - 6 = 180

    4x = 186

    x = 186 : 4 = 46.5°

    Second angle = 46.5°

    First angle = 3 (46.5) - 6 = 133.5°

    Answer: The angles are 46.5° and 133.5°
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