Four angles share a vertex. They have the following measures: m∠1=63°

Question

, m∠2=117°
, m∠3=63°
, and m∠4=117°
. Which angle is a vertical angle with ∠2
?(1 point)
Responses

∠1
angle 1

none
none

∠4
angle 4

∠3

Answer 1

Vertical angles are the angles that are opposite each other when two lines intersect. In this case, the angles given are:

• m∠1 = 63°
• m∠2 = 117°
• m∠3 = 63°
• m∠4 = 117°

Since m∠2 = 117°, the vertical angle to ∠2 would be the angle that is opposite to it.

Looking at the options:

• ∠1 = 63° (not a vertical angle)
• ∠3 = 63° (not a vertical angle)
• ∠4 = 117° (this is the vertical angle)

Therefore, the angle that is a vertical angle with ∠2 is ∠4.