Question

The sum of two angles is $90$ degrees. The angles are in the ratio $2:3.$ Find the measure of each angle.

Answer 1

Let the one angle be $2x$

Other angle be $3x$

According to the question

$2x+3x={90}^o$

$\Rightarrow 5x={90}^o$

$\Rightarrow x=\frac{90}{5}$

$\Rightarrow x={18}^o$

One angle $=2x$

$=2\times {18}^o={36}^o$

Another angle $=3x$

$=3\times {18}^o={54}^o$

$\therefore$ The angles are ${36}^o$ & ${54}^o$.