Write the complement of each of the following angles: (i) 20°(ii) 35

1.	Write the complement of each of the following angles: (i) 20°(ii) 35° (iii) 90° (iv) 77° (v) 30°
Answer» (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°

Write the complement of each of the following angles: (i) 20°(ii) 35° (iii) 90° (iv) 77° (v) 30°

Answer»

(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°