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24 May, 01:18

two angles are supplementary. twice the measure of the first angle minus 9 is equal to the measure of the second angle. find the measures of both angles

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  1. 24 May, 03:31
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    The First angle is 63 ° and The Second angle is 117 °.

    Step-by-step explanation:

    1. Let's remember that supplementary angles are two angles whose measures add up to 180°.

    First angle = x

    Second angle = 2x - 9 (Twice the measure of the first angle minus 9 is equal to the measure of the second angle)

    First angle + Second angle = 180

    x + (2x - 9) = 180

    x + 2x - 9 = 180

    3x = 180 + 9

    3x = 189

    x = 63

    The First angle is 63 °

    2. Now, let's find the measure of the Second angle = 2x - 9

    Replacing x, we have: 2 (63) - 9 = 126 - 9 = 117 °

    The Second angle is 117 °

    117 ° + 63 ° = 180°
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