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?
A. none
B. ∠2
C. ∠3
D. ∠4
In a vertical pair, the angles are opposite each other and have the same measure. Since ∠1 measures 98°, the vertical pair to ∠1 must also measure 98°. The only angle that meets this requirement is ∠3.
Therefore, the answer is
C. ∠3