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22 June, 19:53

Find the measure of the indicated angles.

supplementary angles with measures 14x - 19 and 7x-32

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Answers (1)
  1. 22 June, 20:40
    0
    135° and 45°

    Step-by-step explanation:

    We are given two angles;

    14x - 19 and 7x-32

    We are told that the two angles are supplementary.

    To find the two angles we need to know what are supplementary angles;

    Supplementary angles are angles that add up to 180° Therefore, if angles a and b are supplementary;

    Then, a + b = 180

    Therefore, in this case;

    14x - 19 + 7x-32 = 180

    Solving for x

    21x - 51 = 180

    21x = 231

    x = 11

    Therefore, the angles are;

    14x - 19 = 14 (11) - 19 = 135° and

    7x-32 = 7 (11) - 32 = 45°

    Thus, the measure of angles are 135° and 45°
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