Question

Find the complement of $\frac{1}{4}of80°$.

Answer 1

Finding the complement of the given angle:

Given angle is $\frac{1}{4}of80°=\frac{1}{4}\times 80°=20°$

Now, the sum of two complementary angles is $90°$.

Let the complement of the given angle be $x$.

$$\begin{gathered} \therefore 20°+x=90° \\ \Rightarrow x=90°-20°=70° \end{gathered}$$

Thus, the complement of $\frac{1}{4}of80°$ is $70°$.