Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.
Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.
Tonya's Proof
StatementJustification
1. line AB ∥ line EF with transversal segment GJ1. Given
2. angle AKL is congruent to angle GKB2. Vertical Angles Theorem
3. angle GKB is congruent to angle FLK3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK4. Transitive Property
Pearl's Proof
StatementJustification
1. line AB ∥ line EF with transversal segment GJ1. Given
2. angle AKL is congruent to angle GKB2. Definition of Adjacent Angles
3. angle GKB is congruent to angle FLK3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK4. Transitive Property