Question

If $BC\parallel GE$ and $AF$ is a transversal, then $\angle ABC$ and $\angle GDF$ are always ____ .

• A. congruent
• B. supplementary
• C. similar
• D. (a) and (c) above.

Answer 1

The correct option is D (a) and (c) above.

$\angle ABC$ and $\angle GDF$ are exterior alternate angles, so they are always equal which means they are congruent. Since angles are congruent, they are also similar.