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11 May, 06:37

In triangle ABC, if AC is congruent to CB, angle A = 3x + 18, angle B = 7x - 58, & angle C = 2x - 8, find x & the measure of each angle.

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  1. 11 May, 06:42
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    Angle A = 75°

    Angle B = 75°

    Angle C = 30°

    Explanation:

    If AC is congruent to CB, from figure given we have angle A = angle B.

    Angle A = 3x + 18

    Angle B = 7x - 58

    Angle C = 2x - 8

    We have,

    3x + 18 = 7x - 58

    4x = 76

    x = 19

    So,

    Angle A = 3*19 + 18 = 75°

    Angle B = 7*19 - 58 = 75°

    Angle C = 2*19 - 8 = 30°
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