Question

what types of angles are <2 and <3? *
line c
1 5
line a 6 2
3 7
line b 8 4
vertical angles
corresponding angles
alternate interior angles
alternate exterior angles

Explanation:

To determine the type of angles ∠2 and ∠3 are, we analyze their positions:

• Vertical Angles: Formed by two intersecting lines, opposite each other. ∠2 and ∠3 are not opposite each other, so this is incorrect.
• Corresponding Angles: Occur in the same relative position at each intersection where a transversal crosses two lines. ∠2 and ∠3 do not have the same relative position, so this is incorrect.
• Alternate Interior Angles: Lie between the two lines (interior) and on opposite sides of the transversal. Line C is the transversal, and lines A and B are the parallel lines. ∠2 and ∠3 are between lines A and B (interior) and on opposite sides of line C (transversal), matching the definition.
• Alternate Exterior Angles: Lie outside the two lines (exterior) and on opposite sides of the transversal. ∠2 and ∠3 are inside the lines, so this is incorrect.

Answer:

Alternate Interior Angles (the option with "Alternate Interior Angles")