An angle is 24° less than its complementary angle. . .

Question : An angle is 24° less than its complementary angle. The angles measure is :

(a) 36°

(b) 33°

(d) 57°

Doubt by Veer

Solution :

Let the angle be x°
Compelent of x° = (90°-x°)

ATQ
(90°-x°)-x°=24°
90°-x°-x°=24°
90°-2x°=24°
90°-24°=2x°
66°=2x°
66°/2=x°
33°=x°
x°=33°

Hence, the correct option is (b) 33°.

Class 9