Question

1. select all the angles that are congruent to ∠6. a. ∠1 c. ∠3 e. ∠7 b. ∠2 d. ∠4 f. ∠8

Explanation:

Step1: Vertical angles

Vertical angles are congruent. $\angle6$ and $\angle8$ are vertical angles, so $\angle6\cong\angle8$.

Step2: Alternate interior angles

If two parallel lines are cut by a transversal, alternate interior angles are congruent. $\angle6$ and $\angle2$ are alternate interior angles (assuming the lines are parallel), so $\angle6\cong\angle2$.

Step3: Corresponding angles

If two parallel lines are cut by a transversal, corresponding angles are congruent. $\angle2$ and $\angle4$ are not corresponding or alternate interior to $\angle6$ in the right way. $\angle1$: $\angle1$ and $\angle6$ are not in a congruent - related position (not vertical, alternate interior or corresponding). $\angle3$: $\angle3$ and $\angle6$ are not in a congruent - related position. $\angle7$: $\angle7$ and $\angle6$ are adjacent and supplementary (if lines are parallel, $\angle6+\angle7 = 180^{\circ}$).

Answer:

B. $\angle2$, F. $\angle8$