Question

which equation can be used to solve for x in the following diagram? choose 1 answer: a 150 - 10x = 90 b 10x + 150 = 180 c 10x + 90 = 180 d 10x = 150

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. In the given diagram, the angles measuring $10x^{\circ}$ and $150^{\circ}$ are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we can set up the equation $10x = 150$.

Answer:

D. $10x = 150$