Question

Four angles share a vertex. They have the following measures: m∠1=63°
, m∠2=117°
, m∠3=63°
, and m∠4=117°
. Which angle is a vertical angle with ∠2
?(1 point)
Responses

∠1
angle 1

∠3
angle 3

∠4
angle 4

none

Answer 1

Vertical angles are pairs of angles that are opposite each other when two lines intersect. In this case, since m∠2 = 117°, its vertical angle will be the angle opposite it.

Given the measures of the angles:
- m∠1 = 63°
- m∠2 = 117°
- m∠3 = 63°
- m∠4 = 117°

m∠2 (117°) is opposite m∠4 (117°). Therefore, ∠4 is a vertical angle with ∠2.

So the correct response is:
**∠4** (angle 4)