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21 June, 09:44

Two angles are complementary. The larger angle is 30 degrees more than 4 times the smaller angle. Find the measure of each angle.

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  1. 21 June, 10:03
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    The angles would be 12 degrees and 78 degrees

    Step-by-step explanation:

    In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.

    x + 4x + 30 = 90

    5x + 30 = 90

    5x = 60

    x = 12

    This makes the first angle 12 and we can find the larger angle.

    4x + 30

    4 (12) + 3-

    48 + 30

    78
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