Mathematics

The supplementary angle of an angle is one third of the angle. Then the angle and its supplement are __________.

$135^o, 45^o$

SOLUTION
Let the angle is $x$, and its supplementary angle is $\dfrac{1}{3}x$.
We know that the sum of the supplementary angles is $180^o$, then
$x+\dfrac{1}{3}x=180^o\\ \Rightarrow \dfrac{4}{3}x=180$
$\Rightarrow x=\dfrac{180\times 3}{4}=135^o$
It's supplementary angle $=\dfrac{135}{3}=45^o$

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Single Correct Medium Published on 09th 09, 2020
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