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10 May, 22:27

One of the angles of a triangle measures d°, another measures (3d) °, and the third measures (5d + 54) °. Write and solve an equation to find the measures of the angles of the triangle.

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  1. 11 May, 00:12
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    Step-by-step explanation:

    The sum of the angles in a triangle is 180 degrees.

    One of the angles of a triangle measures d°, another measures (3d) °, and the third measures (5d + 54) °. The equation becomes

    d + 3d + 5d + 54 = 180

    9d + 54 = 180

    9d = 180 - 54

    9d = 126

    d = 126/9

    d = 14

    First angle is 14 degrees

    Second angle is 3 * 14 = 42 degrees

    Third angle is 5 * 14 + 54 = 124 degrees
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