In a right triangle, which pair of angles shares ray $AF$ as a common side? Choose the correct pair from the options below.

• A. Angles $BAF$ and $EAD$
• B. Angles $DAF$ and $DAB$
• C. Angles $BAF$ and $FAD$
• D. Angles $EAF$ and $CAE$

Answer: (B)

Verified step by step guidance

1. Recall that an angle is named by three points, with the vertex point in the middle. For example, angle \( DAF \) has vertex at point \( A \) and rays \( AD \) and \( AF \).
2. To find which pair of angles share ray \( AF \) as a common side, identify the angles that include \( A \) as the vertex and have \( AF \) as one of their sides.
3. Look at each angle in the options and check if \( AF \) is one of the rays forming the angle. For example, angle \( DAF \) includes ray \( AF \), and angle \( DAB \) includes ray \( AD \) and \( AB \).
4. Determine which two angles both have \( AF \) as a side. Since \( AF \) is a ray starting at \( A \), the angles must share this ray to be considered sharing a common side.
5. Conclude that the pair of angles sharing ray \( AF \) as a common side are those that both include \( AF \) as one of their sides, such as angles \( DAF \) and \( DAB \).