Question

In the figure shown, m∠XOV = 47° and m∠UOW = (2x + 35)°. If ∠UOW and ∠XOV are vertical angles, what is the correct equation that could be used to solve for x?

Answer 1

Since vertical angles are congruent, the measure of angle UOW should be equal to the measure of angle XOV. Therefore, we can set up the equation:

2x + 35 = 47

Now, we can solve for x:

2x = 12
x = 6

Therefore, the correct equation to solve for x is:

2x + 35 = 47