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:

An angle is formed by two rays with a common endpoint. To determine which pair of angles shares ray \(AF\) as a common side, we check each option:

• For \(\angle DAF\) and \(\angle DAB\), the common side is \(AD\), not \(AF\).
• For \(\angle EAF\) and \(\angle CAE\), there is no common side \(AF\) (common vertex \(A\) but different side - set).
• For \(\angle BAF\) and \(\angle EAD\), no common side \(AF\) (different vertex - related rays).
• For \(\angle BAF\) and \(\angle FAD\), both angles have the ray \(AF\) as one of their sides (with common vertex \(A\)).

Answer:

\(\angle BAF\) and \(\angle FAD\)