Question

Two complementary angles are in the ratio of $2:1$. Find the measure of the angles.

Answer 1

It is given that two complementary angles are in the ratio $2:1$.

Consider $2x$ and $x$ as the angles.

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

Then, $2x+x={90}^0$

$⟹$ $3x={90}^0$

$⟹$ $x=\frac{90}{3}=30$.

Here, the angles will be $x={30}^0$ and $2x=2\times {30}^o={60}^0$.