Question

1. the figure shows a pair of parallel lines cut by a transversal. 9) which three angles are congruent to ∠2? choose all three correct angles. ∠4 ∠6 ∠8 what argument can you make to explain why m∠2 = m∠8? complete the statement. 10) when a transversal cuts parallel lines, the? angles are congruent.

Explanation:

Step1: Identify congruent angles to ∠2

Using parallel line angle rules:

• ∠4 is vertical to ∠2, so ∠2 ≅ ∠4
• ∠6 is corresponding to ∠2, so ∠2 ≅ ∠6
• ∠8 is alternate exterior to ∠2, so ∠2 ≅ ∠8

Step2: Fill the angle rule blank

∠2 and ∠8 are alternate exterior angles, which are congruent when parallel lines are cut by a transversal.

Answer:

1. The three congruent angles to ∠2 are: ∠4, ∠6, ∠8
2. When a transversal cuts parallel lines, the alternate exterior angles are congruent.