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14 March, 09:33

The measure of an angle is 6 less than 5 times its complement. what is the measure of its complement

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  1. 14 March, 09:48
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    Measure of angle is 6 less than 5 times its complement,

    Equation is:

    A = 5 x (90 - A) - 6

    Solve for A.

    A=5 (90-A) - 6

    A=450-5A-6

    Add 5A to both sides

    6A=444

    A=74°

    Now the complementary angle=90°-74° = 16°

    Answer: 16°
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