Questions on Geometry: Triangles answered by real tutors!

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Question 152071: How can I prove triangle labeled ∆ AGC is isosceles? I have to show in a two column chart how the triangle is isosceles. I have no idea where to begin can you help me?
: How can I prove triangle labeled ∆ AGC is isosceles? I have to show in a two column chart how the triangle is isosceles. I have no idea where to begin can you help me?

Answer by jojo14344(832) About Me  (Show Source):
You can put this solution on YOUR website!
If triangle AGC exists as isosceles triangle, then
angle(A)=angle(C),
also,
side(AG)=side(GC)
You have to take into consideration that whatever length you extend the vertex on point A and C (at the same length), angle(A) will always be equal to angle(C).
Thank you,
Jojo