Question

1. the figure shows a pair of parallel lines cut by a transversal. which three angles are congruent to ∠2? choose all three correct angles. ∠3 ∠4 ∠5 ∠6 ∠7 ∠8

Explanation:

Step1: Identify vertical angle

Vertical angles are congruent. $\angle 2$ and $\angle 4$ are vertical angles, so $\angle 2 \cong \angle 4$.

Step2: Identify corresponding angle

Corresponding angles of parallel lines are congruent. $\angle 2$ and $\angle 6$ are corresponding angles, so $\angle 2 \cong \angle 6$.

Step3: Identify vertical angle of corresponding angle

Vertical angles are congruent. $\angle 6$ and $\angle 8$ are vertical angles, so $\angle 6 \cong \angle 8$, which means $\angle 2 \cong \angle 8$.

Answer:

$\angle 4$, $\angle 6$, $\angle 8$