Question

There exist two supplementary angles such that one of them is ${30}^{\circ }$ and the other one is two times some arbitrary angle x. Find the value of x (in degrees).

• A. 75
• B. 150
• C. 300
• D. 30

Answer 1

The correct option is A

75

Two angles are called supplementary angles if their sum is 180${}^{\circ }$.

So 30${}^{\circ }$ + 2x = 180${}^{\circ }$

Therefore, x = 75${}^{\circ }$