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

none
none

∠3
angle 3

∠4
angle 4

∠1

Answer 1

When two lines intersect, opposite angles (also known as vertical angles) are equal. In this case, angles 2 and 4 are opposite each other, and angles 1 and 3 are opposite each other.

Given that \( m∠2 = 112° \), angle 4, which is opposite to angle 2, also has the same value. Therefore, \( m∠4 = 112° \).

The correct answer is:

∠4