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8 August, 11:25

One of a pair of complementary angles is half the other. Find the measure of each angle.

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  1. 8 August, 11:40
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    large angle = 60

    small angle = 30

    Step-by-step explanation:

    x + y = 90 Definition of complementary

    y = 1/2 x Definition smaller angle

    x + 1/2 x = 90 Substitute for y

    3/2 x = 90 Combine terms on the left

    3/2 x * 2/3 = 90 * 2/3 Multiply both sides by 2/3

    x = 60 Find y

    y + x = 90

    y + 60 = 90

    y = 90 - 60

    y = 30
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