Question

Two complementary angles are in the ratio of $7:8$. Find the angles

Answer 1

Let the ratio be $x$

then the angles be $7x,8x$

the sum of complementary angles are $90°$

so, $7x+8x=90°$

$$\begin{gathered} 15x=90° \\ x=6 \end{gathered}$$

So, the required angles are

$$\begin{gathered} 7\times 6=42° \\ 8\times 6=48° \end{gathered}$$