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

∠4
angle 4

∠3
angle 3

∠2
angle 2
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1 answer

Vertical angles are formed when two lines intersect, creating pairs of opposite angles that are equal in measure. In this case, we have angles 1, 2, 3, and 4.

Given the measurements:

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

Since m∠1 is 98°, its vertical angle must also be 98°. The only angle that matches this measurement is m∠3, which is also 98°.

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