Q9 of 115 Page 9

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

Let the angle measured be x

Compliment angle = (90o – x)


Supplement angle = (180o – x)


Given that,


Supplementary of thrice of the angle = (180o – 3x)


According to question,


(90o – x) = (180o – 3x)


2x = 90o


x = 45o


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