Four angles share a vertex. m∠1=98°

, 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

1 answer

Vertical angles are formed by two intersecting lines and are the angles that are opposite each other. In this case, the angles that share a vertex (in this particular arrangement) are related to each other.

Given the angles:

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

The vertical angle pairs would be:

  • ∠1 and ∠3 are vertical angles because both are 98° and are opposite each other.
  • ∠2 and ∠4 are also vertical angles because both are 82° and are opposite each other.

Thus, the angle that is a vertical pair with ∠1 is ∠3.