Q3 of 115 Page 9

If an angle is 28° less than its complement, find its measure.

Angle measured will be ‘x’ say

Therefore, its compliment will be (90^o – x)

It is given that angle = Compliment – 28^o

x = (90^o – x) – 28^o

2x = 62^o

x = 31^o

Write the complement of each of the following angles:

(i) 20° (ii) 35° (iii) 90°

(iv) 77° (v) 30°

Write the supplement of each of the following angles:

(i) 54° (ii) 132° (iii) 138°

If an angle is 30° more than one half of its complement, find the measure of the angle.

Two supplementary angles are in the ratio 4 : 5. Find the angles.