Identify the angles at the first intersection.

• Angle $p$ is in the top-left position.
• Angle $q$ is in the top-right position.
• Angle $m$ is in the bottom-left position.
• Angle $n$ is in the bottom-right position.

• Angle $i$ is in the top-left position.
• Angle $k$ is in the top-right position.
• Angle $j$ is in the bottom-left position.
• Angle $l$ is in the bottom-right position.

• Angle $p$ corresponds to angle $i$ (both top-left).
• Angle $q$ corresponds to angle $k$ (both top-right).
• Angle $m$ corresponds to angle $j$ (both bottom-left).
• Angle $n$ corresponds to angle $l$ (both bottom-right).

A. $q$ and $i$: Angle $q$ is top-right, angle $i$ is top-left. These are not corresponding.
B. $m$ and $j$: Angle $m$ is bottom-left, angle $j$ is bottom-left. These are corresponding.

The correct option is B.

The final answer is $\boxed{\text{B. m and j}}$