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Question

If an angle is 30° more than one half of its complement, find the measure of the angle.

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Solution

Let the measure of the required angle be x°.

Thus its complement becomes

According to the statement, the required angle is 30 more than half of its complementary angle that is; the required angle x becomes,

.

Thus

Taking 2 on left hand side of the equation, we get

Hence, the required angle measures.


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