Answer:
(A)
Explanation:
Given: Lines a and b are parallel and line c is transversal.
To prove: ∠2 is supplementary to ∠8.
Proof:
Statements Reason
1. a║b, c is transversal Given
2.∠6≅∠2 Corresponding angles theorem
3. m∠6=m∠2 Definition of congruent
4. ∠6 is supplementary to ∠8 Definition of linear pair
5. ∠2 is supplementary to ∠8 Congruent supplements theorem
Hence proved.
Hence, option A is correct.