Question

which pair of angles shares ray af as a common side?

• $\angle daf$ and $\angle dab$
• $\angle eaf$ and $\angle cae$
• $\angle baf$ and $\angle ead$
• $\angle baf$ and $\angle fad$

Explanation:

To determine which pair of angles shares ray \( AF \) as a common side, we analyze each option:

• For \( \angle DAF \) and \( \angle DAB \): The common side is \( AD \), not \( AF \).
• For \( \angle EAF \) and \( \angle CAE \): The common side is \( AE \), not \( AF \).
• For \( \angle BAF \) and \( \angle EAD \): They do not share \( AF \) as a common side.
• For \( \angle BAF \) and \( \angle FAD \): \( \angle BAF \) has sides \( AB \) and \( AF \), and \( \angle FAD \) has sides \( AF \) and \( AD \). So, they share \( AF \) as a common side.

Answer:

D. \( \angle BAF \) and \( \angle FAD \)