Question

Q-1 The difference in the measures of two complementary angle is 12. Find the measure of the angle.

Q-2 Among the two supplementary angle the measure of the larger angle is 44 more than the measure of the smaller angle. Find the measure.​

Answer 1

Answer:

Q1. Let the smaller angle be x.

Larger angle = x+12

=> x+x+12 = 90°

=> 2x = 90-12

=> 2x = 78°

=> x = 39°

Therefore, smaller angle = 39°

Larger angle = (39+12)° = 51°

Q.2 Let the smaller angle be y.

Larger angle = y+44

=> y+y+44 = 180°

=> 2y = 180-44

=> 2y = 136°

=> y = 136/2

=> y = 68°

Therefore, the smaller angle is 68°.

Larger angle = (68+44)° = 112°