Select the correct answer.
Given: p || q, and r || s.
Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark.
Prove: ∠1 and ∠14 are supplementary angles.
Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16.
What is the next step in the proof? Choose the most logical approach.
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
B.
Statement: ∠6 ≅ ∠7
Reason: Vertical Angles Theorem
C.
Statement: ∠6 and ∠5 are supplementary.
Reason: Linear Pair Theorem
D.
Statement: m∠6 + m∠8
Reason: angle addition