Question

An angle is 1/3 of its supplement. What is the degree measure of the angle?​

Answer 1

Answer:

45°

Step-by-step explanation:

Let the angle be x, then its supplement would be (180-x). Given the angle is one-third of the supplement,

x = 1/3(180°-x)

=> 3x = 180°-x

=> 4x = 180°

=> x = 180°/4

=> x = 45°

Therefore, the given angle is 45°.

You can check your answer as well:
angle = 45°

supplement = 180°- 45° = 135°

45° = 1/3(135°)

45° = 45°
LHS = RHS

Hence, proved.