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:

Step1: Analyze each option

• For ∠DAF and ∠DAB: The common side is \( \overrightarrow{AD}\), not \( \overrightarrow{AF}\).
• For ∠EAF and ∠CAE: The common side is \( \overrightarrow{AE}\), not \( \overrightarrow{AF}\).
• For ∠BAF and ∠EAD: There is no common side \( \overrightarrow{AF}\).
• For ∠BAF and ∠FAD: Both angles have the ray \( \overrightarrow{AF}\) as a common side.

Answer:

∠BAF and ∠FAD