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2 March, 19:09

Two angles are complementary. One contains 20° more than the other. Find both angles. The measures of the angles are

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  1. 2 March, 19:20
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    Let the larger angle be x, then the other angle is 90-x, since the angles are complementary.

    Given one is 20° larger than the other, therefore

    x - (90-x) = 20

    solve for x

    2x=110, x=55, x-20=35 Check: 55+35=90 (=complementary)

    Answer: the angles are 55 and 35°.
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