Question

Given: Transversal t passes through parallel lines r and s.
Prove: ∠3 ≅ ∠6
∠4 ≅ ∠5

Statement Reason
1. r || s given
2. ∠3 ≅ ∠7
∠4 ≅ ∠8 For parallel lines cut by a transversal, corresponding angles are congruent.
3.

What is the next step in the proof? Choose the most logical approach.

A.
Statement: ∠1 ≅ ∠8 and ∠2 ≅ ∠7

Reason: Congruent Supplements Theorem

B.
Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180°

Reason: Linear Pair Theorem

C.
Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180°

Reason: definition of supplementary angles

D.
Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5

Reason: Vertical Angles Theorem

Answer 1

At least include the diagram /o\