Question

Find the complement of each of the following angles.
(i) 55°
(ii) 16°
(iii) 90°
(iv) $\frac{2}{3}$ of a right angle

Answer 1

Two angles whose sum is 90° are called complementary angles.

(i) Complement of 55° = 90° − 55° = 35°

(ii) Complement of $16°=\left(90-16\right)°$$=74°$

(iii) Complement of 90° = 90° − 90° = 0°

(iv) $\frac{2}{3}\text{of a right angle}\Rightarrow \left(90\times \frac{2}{3}\right)°=60°$
$\text{Complement of}\frac{2}{3}\text{of a right angle}=\left(90-60\right)°=30°$