Question

proving alternate exterior angles congruent
given: lines p and q are parallel and r is a transversal
prove: ∠2 ≅ ∠7
which statements could complete the proof?
a:
b:

Explanation:

Step1: Find vertical angles

Vertical angles are congruent. So, \(\angle2\cong\angle3\) (because they are vertical angles).

Step2: Use correlated angles theorem

Since \(p\parallel q\) and \(r\) is a transversal, by the correlated angles theorem (also known as the corresponding angles theorem), \(\angle3\cong\angle7\) (corresponding angles).

Answer:

A: \(\angle2\cong\angle3\)
B: \(\angle3\cong\angle7\)