Question

With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD?

A.
m∠FEB + m∠HGD = 180°

B.
∠HGD ≅ ∠FEB

C.
m∠HGC + m∠FEB = 180°

D.
∠FEA ≅ ∠HGC

Answer 1

I can cross B, D out because they are equal to each other..

Answer 2

I have a really strong feeling it's C because, The two big sides can't equal 180*. I know that one small side and one big side should equal to 180*.

Answer 3

@Hero

Answer 4

Can you verify this for me?

Answer 5

Do you still need help?

Answer 6

Well this would be incorrect. Given ∠FEA is supplementary to ∠HGD?
A.
m∠FEB + m∠HGD = 180°

B.
∠HGD ≅ ∠FEB

C.
m∠HGC + m∠FEB = 180°

D.
∠FEA ≅ ∠HGC
If ∠FEA is supplementary to ∠HGD, then that means that FEA = HGC, so D is not the correct answer choice. With that same logic, HGD = FEB because both HGD and FEB and supplementary to FEA.
If∠FEA is supplementary to ∠HGD, that means that FEA is supplementary to FEB, and HGD is supplementary to HGC, so HGC is supplementary to FEB and HGC + FEB = 180. So we are left with answer choice A, which is the correct answer choice and the only false assumption