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2 September, 06:35

The sum of the interior angle measures of a triangle is 180°. Angle B is three times the measure of angle A. Angle C is 52°. Find the value of x.

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  1. 2 September, 06:52
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    x = 30.5

    Step-by-step explanation:

    Givens

    Let the smallest angle = x

    Let the next angle = 3x

    Let the third angle = 52

    Every triangle = 180 degrees.

    Equation

    x + 3x + 52 = 180

    Solution

    4x + 52 = 180 Subtract 52 from both sides.

    4x + 52 - 52 = 180 - 52 Combine

    4x = 122 Divide by 4

    4x/4 = 122/4

    x = 30.5
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