Question

There are two vertical angles in a figure where m∠
1 = 2x - 24°
and the m∠
2 = 86°
.

Which equation will solve for x?



(1 point)
Responses

2x - 24 + 86 = 180
2x - 24 + 86 = 180

2x - 24 = 86
2x - 24 = 86

2x - 86 = 24
2x - 86 = 24

Answer 1

To solve for \( x \) where \( m∠1 \) and \( m∠2 \) are vertical angles, we set them equal to each other because vertical angles are equal in measure.

Given:
- \( m∠1 = 2x - 24° \)
- \( m∠2 = 86° \)

So, the equation we can set up is:

\[ 2x - 24 = 86 \]

Therefore, the correct response is:

**2x - 24 = 86**