Mathematics

An angle is $$34^{o}$$ less than its supplement. The measure of the angle is 


ANSWER

None of these


SOLUTION
Let the measure of the angle be $$x^o$$ and
 the measure of its supplement be $$(x+34)^{o}$$.
Then,
$$\implies x$$ = $$180^{o}-(x+34)^{o}$$
$$\implies x+x$$ = $$146^{o}$$
$$\implies 2x$$ = $$146^{o}$$
$$\implies x$$ = $$146^{o}/2$$
$$\implies x$$ = $$73^{o}$$
Hence, the supplement of the given angle measures $$73^{o}$$.
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