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8 July, 03:02

Angle 1 and Angle 2 are supplementary angles. M angle 1=x-19, and M angle 2=x+99. Find the measures of each angle.

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  1. 8 July, 03:48
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    31° and 149°

    Step-by-step explanation:

    Supplementary angles sum to 180°, hence

    x - 19 + x + 99 = 180

    2x + 80 = 180 (subtract 80 from both sides)

    2x = 100 (divide both sides by 2)

    x = 50

    angle 1 = x - 19 = 50 - 19 = 31°

    angle 2 = x + 99 = 50 + 99 = 149°
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