Question

If the supplement of an angle is three times its complement find the angle

Answer 1

Let, the angle be $x$

According to the question,

$({180}^{\circ }-x)=3({90}^{\circ }-x)$

${180}^{\circ }-x={270}^{\circ }-3x$

$-x+3x={270}^{\circ }-{180}^{\circ }$

$2x={90}^{\circ }$

$x={45}^{\circ }$