Question

what is the relationship between $\angle 1$ and $\angle 2$? match each figure with the angle relationship it shows.

alternate interior angles

alternate exterior angles

Explanation:

First Figure (Top - Left)

Step1: Recall Alternate Interior Angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two lines (interior) and on opposite sides of the transversal. In the first figure, $\angle 1$ and $\angle 2$ are between the two parallel lines and on opposite sides of the transversal. So they are alternate interior angles.

Step2: Recall Alternate Exterior Angles

Alternate exterior angles lie outside the two parallel lines and on opposite sides of the transversal. The second figure (top - right) has $\angle 1$ and $\angle 2$ outside the two parallel lines and on opposite sides of the transversal, so they are alternate exterior angles.

Answer:

• Top - Left Figure: alternate interior angles
• Top - Right Figure: alternate exterior angles