Question

PLEASE HELP What is the missing reason in the proof ?

Answer 1

b) corresponding angle theorem

Answer 2

(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.