Given: ∠2 and ∠5 are

Question

supplementary
Prove: l || m
Statements Reasons
1.
_____________
1. _____________
2. ∠ 3 ∠ 2 2. _____________
3. ∠ 3 and ∠ 5
are
supplementary
3. _____________
4.
_____________
4. _____________

Answer 1

1. ∠2 and ∠5 are supplementary (Given)
2. ∠3 and ∠2 are supplementary (Vertical angles are congruent)
3. ∠3 and ∠5 are supplementary (Transitive property of supplementary angles)
4. ∠3 and ∠5 are congruent (Definition of supplementary angles)
5. l || m (If two angles are congruent and formed by a transversal cutting two lines, then the lines are parallel)