Question

If the complement of an angle is equal to the supplement of the thrice of it. Find the measure of the angle.

Answer 1

Let $x$ is the measure angle
then it's compliment angle is $({90}^{\circ }-x)$
and it's supplementary angle is $({180}^{\circ }-x)$
now

$3(90-x)=(180-x)$ [Given]

$\Rightarrow 270-3x=180-x$

$\Rightarrow 270-180=3x-x$

$\Rightarrow 90=2x$

$\Rightarrow x=\frac{90}{2}$

$\Rightarrow x=45°$