Question

which pair of angles shares ray af as a common side?
○ ∠daf and ∠dab
○ ∠eaf and ∠cae
○ ∠baf and ∠ead
○ ∠baf and ∠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 here is \( AD \), not \( AF \).
• For \( \angle EAF \) and \( \angle CAE \): The common side here is \( AE \), not \( AF \).
• For \( \angle BAF \) and \( \angle EAD \): These angles 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 \( \angle FAD \)