Given: AB ≅ CD ∠EGC ≅ ∠CGB

Prove: ∠AGD is complementary to ∠EGC.

Proof:

StatementhReason

1. given

2. m∠EGB = 90°definition of perpendicular lines

3. ∠EGB = ∠EGC + ∠CGBangle addition

4. ∠EGC + ∠CGB = 90°Transitive Property of Equality

5. ∠EGC is complementary to ∠CGB. definition of complementary angles

6.What is the next step in the given proof? Choose the most logical approach.

A.

Statement: ∠EGC ≅ ∠AGD

Reason: Substitution Property of Equality

B.

Statement: ∠CGB ≅ ∠AGD

Reason: Vertical Angles Theorem

C.

Statement: ∠EGA and ∠EGB are supplementary.

Reason: Linear Pair Theorem

D.

Statement: ∠AGD and ∠DGB are supplementary.

Reason: Linear Pair Theorem