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22 August, 13:23

The larger of two supplementary angles is 6 less than 5 times the smaller. Find the measure of the two angles.

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  1. 22 August, 13:24
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    Step-by-step explanation:

    Let the two angles be x and y

    Then: y = 5x - 6

    And x + y = 180° (the of supplementary angle is 180°)

    Putting y = 5x - 6

    x + 5x - 6 = 180

    6x = 180 + 6

    6x = 186

    x = 186/6

    x = 31°

    And y = 5x - 6

    y = 5 (31) - 6

    y = 155 - 6

    y = 149°

    The angles are 31° and 149°
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