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20 April, 15:31

An angle is 10° more than the measure of its complement. Find the number of degrees in each angle. The angles measure degrees.

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  1. 20 April, 16:55
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    Let the angle be x. The complement of this angle would then be 90-x.

    We are told that x is 10 more than 90-x, or x is 90-x+10, or x = 100 - x.

    If x = 100 - x, then 2x = 100, and x = 50.

    Check: If one angle is 50 degrees, the complement is 90-50, or 40 degrees.

    Are 50 and 40 complementary? Yes. They add up to 90. Is 50 10 more than 40? Yes.

    The measurements of these two angles are 40 and 50 degrees.
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