Question

the figure shows a transversal that intersects two parallel lines. none of the angles are right angles. decide whether each pair of angles is congruent or not congruent. angles ∠2 and ∠5? congruent or not congruent congruent not congruent

Explanation:

Step1: Identify angle relationship

$\angle 2$ and $\angle 5$ are alternate interior angles formed by a transversal intersecting two parallel lines.

Step2: Apply parallel line theorem

For parallel lines cut by a transversal, alternate interior angles are congruent.

Answer:

congruent