Question: Given that ∠6 ≅∠1. Determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.
A ) s || t, corresponding angles postulate B ) l || m, corresponding angles postulate C ) l || m, same-side interior angle theorem D ) s || t, same-side interior angle theorem
Steps to derive
1l is a transversal for s and t.
2 Since ∠6 and ∠1 are congruent corresponding angles, s || t.
3 So, from the corresponding angles postulate, s || t.