Well starting with just the first statement b is congruent to c by vertical... yes. because they are formed by the intersection and non adjacent. Â so A and C are still okay.
answer choice B on the other hand b is congruent to h by corresponding that is not true.. one they are not corresponding and two they are supplementary because they are same side exterior angles. Â so you can eliminate B.
now the next line in answer choice a.. c and e are supplementary by ss interior... yes that is correct.Â
now the next line in answer choice c.. d and h are supplementary.. that is wrong.. d and h are corresponding and therefore are congruent so you can eliminate answer choice C.
just checking the rest.. e and h are congruent by vertical.. correct.. and finally substitution to finish the proof. Â So A is the correct proof.