Question

what is the students error? choose the correct answer below. a. ∠2 and ∠3 are not corresponding angles. b. ∠2 and ∠3 are not vertical angles. c. converse of the corresponding angles theorem was used. d. m∠1≠m∠3

Explanation:

Vertical angles are formed by two intersecting lines and are opposite each other. In the given figure, ∠2 and ∠3 do not share the necessary intersection - point relationship to be vertical angles. Corresponding angles have a different position - relationship in relation to parallel lines and a transversal. The Converse of the Corresponding Angles Theorem is not relevant here as there is no indication of using it wrongly. And there is no information to suggest a problem with the equality of ∠1 and ∠3 in terms of being an error in the context of the question about ∠2 and ∠3.

Answer:

B. ∠2 and ∠3 are not vertical angles.