Use the image to answer the question.

Question

An illustration shows two intersecting lines forming angles 1, 2, 3, and 4. Angles 2 and 4 are opposite each other while angles 1 and 3 are opposite each other.

If m∠2=112°
, which other angle has the same value?

(1 point)
Responses

∠3
angle 3

∠4
angle 4

none
none

∠1

Answer 1

In the scenario described, angles 2 and 4 are opposite each other (also known as vertical angles), and angles 1 and 3 are also opposite each other.

Since vertical angles are always equal, if \( m∠2 = 112° \), then:

• \( m∠4 = 112° \) (because they are vertical angles)
• \( m∠1 \) and \( m∠3 \) will be different because they are adjacent angles.

Therefore, the angle that has the same value as \( m∠2 \) is:

∠4