Question

An angle is equal to $8$ times its complement. Determine its measure.

Answer 1

Let $\alpha$ & $\beta$ be the angles

$\alpha =8\beta$ ;$\alpha +\beta ={90}^{\circ }$

$9\beta ={90}^{\circ }$

$\therefore$ $\beta ={10}^{\circ }$

$\alpha ={80}^{\circ }$