Mathematics

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

$72^o$

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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Single Correct Medium Published on 09th 09, 2020
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