Question

If the complement of an angle is equal to the supplement of the thrice of it. Find the measure of the angle.

Answer 1

here is your answer...

Suppose the measure of the angle is x.
Then, complement of an angle = (900−x)
And the supplement of an angle = (180°−x)
According to the given parenthesis we have;
3(90−x)=180−x⇒270−3x=180−x⇒270−180=3x−x⇒2x=90⇒x=45
So the measure of the angle is 45°

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