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31 January, 09:54

Two angles are complementary. The first angle is 2x degrees. The second angle is (x+30) degrees. Determine the larger angle

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  1. 31 January, 10:24
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    larger angle = 50°

    complementary angles sum to 90°, hence

    2x + x + 30 = 90

    3x + 30 = 90 (subtract 30 from both sides)

    3x = 60 (divide both sides by 3)

    x = 20

    thus 2x = 2 * 20 = 40° and x + 30 = 20 + 30 = 50°

    the larger angle is x + 30 = 50°
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