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31 March, 11:01

What are the measures of a triangle with angles of (x+20) degrees (2x+10) degrees (4x-60) degrees?

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  1. 31 March, 11:07
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    In a triangle, the three interior angles always add to 180°

    m∠1 = x+20

    m∠2 = 2x+10

    m∠3 = 4x-60

    x + 20 + 2x + 10 + 4x - 60 = 180

    7x - 30 = 180

    7x = 180 + 30

    7x = 210

    x = 210/7

    x = 30

    m∠1 = x+20 = 30 + 20 = 50°

    m∠2 = 2x+10 = 2*30 + 10 = 70°

    m∠3 = 4x-60 = 4 * 30 - 60 = 60°
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