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20 December, 00:39

An angle measures 55.8° less than the measure of a complementary angle. What is the measure of each angle?

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  1. 20 December, 02:01
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    72.9 degrees and 17.1 degrees.

    Step-by-step explanation:

    The complementary angles can be expressed as x and 90-x degrees.

    So we have the equation:

    x - (90 - x) = 55.8

    x - 90 + x = 55.8

    2x = 55.8 + 90 = 145.8

    x = 145.8 / 2

    = 72. 9 degrees

    So each angle is 72.9 degrees and 90 - 72.9 = 17.1 degrees.
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