Question

Write the complement of each of the following angles: 

(i) 20°

(ii) 35° 

(iii) 90° 

(iv) 77° 

(v) 30°

Answer 1

(i) The sum of an angle and its complement = 90° 

Therefore, the complement of 20° = 90° – 20° = 70° 

(ii) The sum of an angle and its complement = 90° 

Therefore, the complement of 35° = 90° – 35° = 55° 

(iii) The sum of an angle and its complement = 90° 

Therefore, the complement of 90° = 90° – 90° = 0° 

(iv) The sum of an angle and its complement = 90° 

Therefore, the complement of 77° = 90° – 77° = 13° 

(v) The sum of an angle and its complement = 90° 

Therefore, the complement of 30° = 90° – 30° = 60°