Question

The measure of an angle is $8$ times its Complement, find the angle.

Answer 1

Say an angle is $8x$ then the complement angle is $x$ then we know two complementary angles sum up to ${90}^{\circ }$.

So,

$8x+x={90}^{\circ }$

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

$x={10}^{\circ }$

Hence, the angle is ${80}^{\circ }.$