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

Question

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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Luna 1 week 2021-10-05T01:25:57+00:00 1 Answer 0

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    2021-10-05T01:27:44+00:00

    Answer:

    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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