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Question

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

∠3
angle 3

none
none

∠1
angle 1

∠4

Answer 1

Vertical angles are pairs of opposite angles formed by the intersection of two lines. Given the angles:

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

The vertical angle to ∠2 (which measures 117°) is the angle that is directly across from it. Among the provided angles, ∠4 also measures 117°, making it the vertical angle to ∠2.

Therefore, the correct response is: ∠4.