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?
A.
(x + 35)° = 47°
B.
(2x + 35)° = 47°
C.
(2x + 47)° = 35°
D.
(2x)° = 47°
Answers
GPT-4o mini
Since ∠UOW and ∠XOV are vertical angles, they are congruent. This means their measures are equal.
Given:
- m∠XOV = 47°
- m∠UOW = (2x + 35)°
We can set up the equation using the fact that vertical angles are equal:
\[
(2x + 35)° = 47°
\]
So, the correct equation to solve for \( x \) is:
**B. (2x + 35)° = 47°**
Given:
- m∠XOV = 47°
- m∠UOW = (2x + 35)°
We can set up the equation using the fact that vertical angles are equal:
\[
(2x + 35)° = 47°
\]
So, the correct equation to solve for \( x \) is:
**B. (2x + 35)° = 47°**