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If the complement of an angle is equal to the supplement of the thrice of it. Find the measure of the angle.
The complement of an angle is equal to the supplement of the thrice of it.
We have to find the measure of the angle.
Two angles are said to be supplementary if the sum of their measures is $180^o$.
Two angles are said to be complementary if the sum of their measures is $90^o$.
Let the required angle be $x$.
The measure of the complementary angle $=90^o-x$
Thrice of the required angle $=3x$
The measure of the supplement of the thrice of it $=180^o-3x$
According to the question,
The measure of the required angle is $45^o$.
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