Question

classify the pair of numbered angles.
3
7
corresponding
alternate interior
alternate exterior
consecutive interior

Explanation:

• Corresponding angles: These are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others. For example, if we have two parallel lines cut by a transversal, ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 are corresponding angles. In the given figure, ∠3 and ∠7 are in the same relative position (both are on the same - side of the transversal and in the "upper - right" or "lower - right" like position relative to the two lines intersected by the transversal).
• Alternate interior angles: These are pairs of angles that lie between the two lines and on opposite sides of the transversal. For example, ∠3 and ∠6, ∠4 and ∠5.
• Alternate exterior angles: These are pairs of angles that lie outside the two lines and on opposite sides of the transversal. For example, ∠1 and ∠8, ∠2 and ∠7.
• Consecutive interior angles: These are pairs of angles that lie between the two lines and on the same side of the transversal. For example, ∠3 and ∠5, ∠4 and ∠6.

Answer:

corresponding