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13 May, 03:03

Find the measure of ∠B if ∠A = 5 2 x + 40 ∠B = 7 2 x + 20 ∠C = 3 2 x + 20 ∠D = 3 2 x + 40

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  1. 13 May, 05:09
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    In a quadrilateral

    ∠A = 52 x + 40

    ∠B = 72 x + 20

    ∠C = 32 x + 20

    ∠D = 32 x + 40

    ∠A + ∠B + ∠C + ∠D = 360° = 52x+40+72x+20+32x+20+32x+40

    = 188x + 120

    188x + 120 = 360°

    188x = 240°

    x = 240/188 = 1.27°

    ∠B = 72x+20 = (72*1.27) + 20 = 111.44°
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