Four angles share a vertex. m∠1=98°

Question

, m∠2=82°
, m∠3=98°
, and m∠4=82°
. Which angle is a vertical pair with ∠1
?(1 point)
Responses

∠2
angle 2

∠3
angle 3

none
none

∠4

Answer 1

Vertical angles are formed when two lines intersect, and they are opposite each other. Given the angles:

• m∠1 = 98°
• m∠2 = 82°
• m∠3 = 98°
• m∠4 = 82°

The vertical angle that shares the vertex with ∠1 (which has a measure of 98°) is ∠3, since both angles have the same measure and are opposite each other.

Therefore, the correct answer is:

∠3