Question

1. the figure shows a transversal that intersects two parallel lines. decide whether each pair of angles is congruent or not congruent. angles | congruent or not congruent ∠3 and ∠5 | not congruent ∠2 and ∠7 | congruent ∠4 and ∠8 | ?

Explanation:

Step1: Recall properties of parallel lines cut by a transversal

When two parallel lines are cut by a transversal, corresponding angles are congruent, alternate - interior angles are congruent, and vertical angles are congruent. Also, alternate - exterior angles are congruent.

Step2: Analyze ∠4 and ∠8

∠4 and ∠8 are corresponding angles. Since the two lines cut by the transversal are parallel (as per the diagram of two parallel lines cut by a transversal), corresponding angles are congruent. So, ∠4 and ∠8 are congruent.

Answer:

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