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 = (180^{o} – x)

According to the question

(180^{o} – x) =

^{o }- 3x = 2x

5x = 540^{o}

x = 108^{o}

Hence, supplement = 72^{o}

**Therefore, the angle will be 108 ^{o} and its supplement will be 72^{o}.**

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