Question

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

none
none

∠2
angle 2

∠4

1 answer

When four angles share a vertex, they can form two pairs of vertical angles. Vertical angles are opposite each other when two lines intersect, and they have the same measure.

Given the angles and their measures:
- \(\angle 1 = 98^\circ\)
- \(\angle 2 = 82^\circ\)
- \(\angle 3 = 98^\circ\)
- \(\angle 4 = 82^\circ\)

Since \(\angle 1\) and \(\angle 3\) both have measures of \(98^\circ\), they are a pair of vertical angles.

So, \(\angle 3\) is the angle that is a vertical pair with \(\angle 1\).

Therefore, the answer is:
\(\angle 3\).