Question

Two complementary angles are in the ratio of $2:3$. Find them.

Answer 1

Complementary Angles- If the sum of two angles is $90°,$then they are said to be complementary angles.

Two angles are in the ratio of $2:3$

Let the two complementary angles be $2x,3x$

Sum of the complementary angles = $90°$

$$\begin{gathered} 2x+3x=90° \\ 5x=90° \\ x=18° \end{gathered}$$

Hence, One angle be $2x=2\times 18°=36°$

Another angle be = $3\times x=3\times 18°=54°$