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 ?

Please

1 answer

Vertical angles are the angles opposite each other when two lines intersect. In this case, since you have four angles that all share a common vertex, we can identify vertical pairs based on their respective measures.

Given:

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

The angles that share a measure with each other are:

  • ∠1 (98°) and ∠3 (98°) are a vertical pair.
  • ∠2 (82°) and ∠4 (82°) are a vertical pair.

Since you are asking for the angle that is a vertical pair with ∠1, the answer is:

∠3 (98°) is the vertical pair with ∠1.