Question

given: lines ( p ) and ( q ) are parallel and ( r ) is a transversal. prove: ( angle 2 cong angle 7 )

Explanation:

Step1: Vertical Angles

Vertical angles are congruent. So, $\angle2\cong\angle4$.

Step2: Corresponding Angles

Since $p\parallel q$ and $r$ is a transversal, by the Corresponding Angles Theorem, $\angle4\cong\angle7$.

Answer:

A: $\angle2\cong\angle4$; B: $\angle4\cong\angle7$