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2 March, 12:29

in triangle ABC, the measure of angle B is 18° more than three times the measure of angle A. The measure of angle C is 42° more than the measure of angle A. find the measure of each angle.

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  1. 2 March, 13:02
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    A = A

    B = 3A + 18

    C = A + 42

    The sum of the angles of a triangle equals 180°

    A + B + C = 180

    (A) + (3A + 18) + (A + 42) = 180

    5A + 60 = 180

    5A = 120

    A = 24

    B = 3A + 18 = 3 (24) + 18 = 72 + 18 = 90

    C = A + 42 = C = 24 + 42 = 66

    Answer: A=24, B=90, C=66
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