Mathematics


Two supplementary angles are in the ratio $$3:2$$. The smaller angle measures?


ANSWER

$$72^o$$


SOLUTION
Given two supplementary angles are in the ratio $$3:2$$.
Let the measurement of the angles  be $$3x$$ and $$2x$$.
Two angles are said to be supplementary if they sum upto $$180^o$$.
Then we have,
$$3x+2x=180^{o}$$
$$5x=180^o$$
or, $$x=36^o$$.
So the  smaller angle is $$36^o\times 2=72^o$$.
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