Question

(d) ∠10 and ∠13
alternate
exterior
alternate
interior
consecutive
interior
corresponding
vertical
none of these
(e) ∠2 and ∠3
alternate
exterior
alternate
interior
consecutive
interior
corresponding
vertical
none of these

Explanation:

Part (d): ∠10 and ∠13

To determine the angle relationship, recall definitions:

• Alternate Exterior: Angles outside two lines, on opposite sides of a transversal.
• Alternate Interior: Angles inside two lines, on opposite sides of a transversal.
• Consecutive Interior: Angles inside two lines, on the same side of a transversal.
• Corresponding: Angles in the same relative position at each intersection.
• Vertical: Opposite angles formed by intersecting lines.

Assuming a standard transversal/cut scenario, ∠10 and ∠13 likely do not fit “corresponding” (incorrectly selected earlier) or other listed types. Thus, the correct classification is “none of these.”

Recall angle relationship definitions:

• Vertical angles are opposite angles formed by intersecting lines (they are equal and share a common vertex). ∠2 and ∠3, if formed by intersecting lines, would be vertical angles. The “corresponding” selection (incorrectly marked) is wrong here.

Answer:

none of these

Part (e): ∠2 and ∠3