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

none
none

∠3
angle 3

∠2
angle 2

∠4

Answer 1

Vertical angles are pairs of angles that are across from each other when two lines intersect. In the case of four angles sharing a vertex:

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

Since m∠1 and m∠3 both measure 98°, they are across from each other and thus form a vertical pair.

The correct answer is:

∠3