Question

what is the relationship between ∠1 and ∠2? match each figure with the angle relationship it shows. alternate exterior angles

Explanation:

Step1: Recall Alternate Exterior Angles

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze Each Figure

• Top - right figure: ∠1 and ∠2 are on the same side of the transversal, not alternate exterior.
• Bottom - left figure: ∠1 and ∠2 are outside the two parallel lines and on opposite sides of the transversal, matching alternate exterior angles.
• Bottom - right figure: ∠1 and ∠2 are adjacent or on the same side, not alternate exterior.

Answer:

The figure with ∠1 (top - left of the transversal - formed angles) and ∠2 (bottom - right of the transversal - formed angles) in the bottom - left graph (the third graph if counted from top - left as first, top - right as second, bottom - left as third, bottom - right as fourth) shows alternate exterior angles.