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 | congruent or not congruent
∠2 and ∠5 | not congruent
∠2 and ∠7 | ?

Explanation:

Step1: Recall properties of parallel lines and transversals

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

Step2: Identify the type of angles ∠2 and ∠7 are

∠2 and ∠7 are alternate interior angles. So, by the alternate interior angles theorem, they should be congruent.

Answer:

congruent