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10 August, 05:20

the angle of a triangle are given as 6x, (x-3), and (3x+7). find x then find the measures of the angles

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  1. 10 August, 05:23
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    x = 17.6

    The three angles are

    6x = 105.6

    x-3 = 14.6

    3x+7 = 59.8

    Step-by-step explanation:

    The three angles of a triangle add to 180 degrees

    6x + x-3 + 3x+7 = 180

    Combine like terms

    10x + 4 = 180

    Subtract 4 from each side

    10x+4-4 = 180-4

    10x = 176

    Divide each side by 10

    10x/10 = 176/10

    x = 17.6

    The three angles are

    6x = 6*17.6 = 105.6

    x-3 = 17.6-3 = 14.6

    and 3x+7 = 3 (17.6) + 7 = 52.8+7 = 59.8
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