Given: l || n

Question

Prove: <4=~<6

Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines I and n are parallel.

<6=~<4
<4=~<2
<2=~<6
l || n

Match:
Corresponding angels
Vertical angles
Transitive Property
Givin

Answer 1

- Corresponding angles: <4 and <6 are alternate interior angles formed by the parallel lines l and n.
- Vertical angles: <4 and <2 are vertical angles.
- Transitive Property: If <4 and <2 are congruent, and <2 and <6 are congruent, then <4 and <6 must also be congruent.
- Given: The initial statement that lines l and n are parallel.