Question

How many degrees are there in an angle which is one-fifth of its complement?

Answer 1

Let one angle = $x$.
But it is $\frac{1}{5}$ th of its complementary angle,
Then, the complementary angle = $5x$.

We know that, if two angles are complementary, then their sum is ${90}^o$.
$\Rightarrow x+5x={90}^0$
$\Rightarrow 6x={90}^0$
$\Rightarrow x={15}^0$.

Required angle $={15}^0$.