Use the image to answer the 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
∠1
angle 1
∠3
angle 3
∠4
1 answer
In the scenario described, angles that are opposite each other (also known as vertical angles) are equal in measure. Since angles 2 and 4 are opposite each other, and m∠2 = 112°, it follows that m∠4 must also equal 112°.
Therefore, the angle that has the same value as ∠2 is:
∠4.
