Q. 124.6( 16 Votes )

If the supplement of an angle is two-thirds of itself. Determine the angle and its supplement.

Answer :

Given that,

Supplement = of the angle itself


Let the angle be x


Therefore,


Supplement = (180o – x)


According to the question


(180o – x) =


540 - 3x = 2x

5x = 540o


x = 108o


Hence, supplement = 72o


Therefore, the angle will be 108o and its supplement will be 72o.

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