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18 September, 05:48

The exterior angles of a quadrilateral measure 3x + 10, 2x - 60, 3x + 23, and 2x - 13. Find the measure of each angle.

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  1. 18 September, 05:59
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    3x + 10 + 2x - 60 + 3x + 23 + 2x - 13 = 360

    10x - 40 = 360

    10x - 40 + 40 = 360 + 40

    10x = 400

    10x/10 = 400/10

    x = 40

    3x+10 = 3 (40) + 10 = 130°

    2X-60 = 2 (40) - 60 = 20°

    3X+23 = 3 (40) + 23 = 143°

    2x-13 = 2 (40) - 13 = 67°
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