Question

in the figure to the right, s||t. use the figure to answer the following exercise. ∠b is congruent to which two of the following angles? ∠c ∠f ∠d ∠a

Explanation:

Step1: Recall angle - congruence rules for parallel lines

When two parallel lines s and t are cut by a transversal, vertical angles are congruent and alternate - interior angles are congruent.

Step2: Identify vertical and alternate - interior angles to ∠b

∠b and ∠f are vertical angles, so ∠b≅∠f. Also, ∠b and ∠c are alternate - interior angles, so ∠b≅∠c.

Answer:

∠c, ∠f