Question

PLEASE HELP What is the missing reason in the proof ?

Answer 1

b) corresponding angle theorem

Answer 2

Answer:

(A)

Step-by-step 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.