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17 December, 11:51

One angle of a triangle measures 52 more than the smallest, while a third angle is twice the smallest. find the measure of each angle

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  1. 17 December, 11:58
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    Remember that a triangle has 180 degrees. Therefore, you would set the smallest angle = x and the other angle = x + 52 and the third angle = 2x.

    You would add each of these angles, x + (x + 52) + 2x, and set it equal to 180 degrees. You would solve for x to find each of the three angles.

    x + (x + 52) + 2x = 180

    4x + 52 = 180

    4x = 128

    x = 32

    The smallest angle = 32 degrees, the other angle = (32 + 52) = 84 degrees, the third angle = (32 * 2) = 64 degrees.

    To check, add 32 + 84 + 64, and you get 180 degrees
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