Question

Two complementary angles are in the ratio 2:3. Find the larger angle between them.

Answer 1

Consider 2x and 3x as the angles
We can write it as
2x + 3x = ${90}^{\circ }$
5x = ${90}^{\circ }$
x = $\frac{{90}^{\circ }}{5}$
= ${18}^{\circ }$
Then angles are 2x = 2 × ${18}^{\circ }={36}^{\circ }$
3 x = 3 $\times {18}^{\circ }={54}^{\circ }$