Question

Find the complement of each of the following angles:

(i) 35°
(ii) 47°
(iii) 60°
(iv) 73°

Answer 1

(i) The given angle measures 35°.
Let the measure of its complement be x.

x + 35° = 90°
or x = (90 - 35 )° = 55°
Hence, the complement of the given angle will be 55°.

(ii) The given angle measures 47°.
Let the measure of its complement be x.

x + 47° = 90°
or x = (90 - 47 )° = 43°
Hence, the complement of the given angle will be 43°.

(iii) The given angle measures 60°.
Let the measure of its complement be x°.

x + 60° = 90°
or x = (90 - 60 )° = 30°
Hence, the complement of the given angle will be 30°.

(iv) The given angle measures 73°.
Let the measure of its complement be x.

x + 73^o = 90°
or x = (90 - 73 )° = 17°
Hence, the complement of the given angle will be 17°.