Question

If $2$complementary angles are in the ratio $1:5$, find them.

Answer 1

Find the angles.

Given: The ratio of complementary angles is $1:5$.

Let us assume one angle is $x$ then another is $5x$.

We know that if two angles are complementary, then their sum is equal to $90°$.

Thus, $x+5x=90°$

$$\begin{gathered} \Rightarrow 6x=90° \\ \Rightarrow x=\frac{90°}{6} \\ \Rightarrow x=15° \\ \Rightarrow 5x=75° \end{gathered}$$

Hence, the two angles are $15°$ and $75°$.