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13 September, 12:16

Angle m and angle n are supplementary angles. If the measure of angle M = 5x+18 and the measure of angle N = 3x+2, find the value of x, and the measure of angle M

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  1. 13 September, 12:27
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    Step-by-step explanation:

    ∠ M + ∠N = 180 {supplementary}

    5x+18 + 3x + 2 = 180 {Now add the like terms}

    8x + 20 = 180

    8x = 180 - 20

    8x = 160

    x = 160/8

    x = 20

    ∠M = 5x + 18 = 5*20 + 18 = 100 + 18 = 118

    ∠N = 3x + 2 = 3*20 + 2 = 60 + 2 = 62
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