Given: AB ≅ CD ∠EGC ≅ ∠CGB

Prove: ∠AGD is complementary to ∠EGC.

Proof:

Statementh Reason
1. given
2. m∠EGB = 90° definition of perpendicular lines
3. ∠EGB = ∠EGC + ∠CGB angle addition
4. ∠EGC + ∠CGB = 90° Transitive Property of Equality
5. ∠EGC is complementary to ∠CGB. definition of complementary angles
6.
10
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