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To identify corresponding angles, look for angles that are in the same relative position at each intersection where the transversal line crosses the two parallel lines.
Step 1: 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.
Step 2: Identify the angles at the second intersection.
• 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.
Step 3: Compare the positions to find corresponding pairs.
• 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).
Step 4: Check the given options.
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 B.mandj