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

∠3
angle 3

∠4
angle 4

∠2
angle 2

none

1 answer

Vertical angles are pairs of angles that are opposite each other when two lines intersect. In this case, since angle \( ∠1 \) measures \( 98^\circ \), the vertical angle would be the one that is opposite to it.

Given the angles:

  • \( m∠1 = 98^\circ \)
  • \( m∠2 = 82^\circ \)
  • \( m∠3 = 98^\circ \)
  • \( m∠4 = 82^\circ \)

The angle that shares the same measure as \( ∠1 \) and is directly opposite is \( ∠3 \).

Therefore, the angle that is a vertical pair with \( ∠1 \) is:

\( ∠3 \).