Question

If the ratio between two complementary angles $2:3$, then find the angles.

Answer 1

It is given that two complementary angles are in the ratio $2:3$.

Consider $2x$ and $3x$ as the angles.

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

Then, $2x+3x={90}^0$

$⟹$ $5x={90}^0$

$⟹$ $x=\frac{90}{5}={18}^0$.

Here, the angles will be $2x=2\times {18}^0={36}^o$

and $3x=3\times {18}^o={54}^0$.