Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
- Corresponding angles that are congruent
- Alternate interior angles that are congruent
- Alternate exterior angles that are congruent
- Consecutive interior angles that are supplementary
In the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
∵ ∠2 and ∠3 are in the corresponding position
→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
∴ m∠3 = 40°
The statement which justifies Andrea's statement is "Corresponding angles are congruent"
