Question

An angle is equal to $5$ times its complement. Find the measure of each angle.

Answer 1

It is given that the angle is $5$ times its complement.

Consider $x$ and $5x$ as the angles.

We know that, if two angles are complementary, then their sum is ${90}^o$.

Then, $x+5x={90}^0$

$⟹$ $6x={90}^0$

$⟹$ $x=\frac{90}{6}={15}^0$.

Here, the angles will be $x={15}^0$ and $5x=5\times {15}^o={75}^0$.