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2 October, 07:33

Two angles are supplementary. The measure of the first angle is 10 degrees more than three times the second angle. Find the measure of each angle

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  1. 2 October, 07:59
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    137.5° and 42.5°

    Step-by-step explanation:

    supplementary angles are two angles whose sum is equal to 180°.

    Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3 (x) + 10°.

    we know that the sum of first and second angles is 180° (supplementary angles)

    so, (3 (x) + 10°) + (x) = 180°

    4 (x) = 170°

    x = 170°/4 = 42.5°

    so, first angle is 3 (42.5°) + 10° = 137.5°, second angle is x that is 42.5°

    therefore, the angles are 137.5° and 42.5°.
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