Write a two column proof.

Question

Write a two column proof.

Given:  ∠FEG≅∠FGE,EH>GH

Prove:  m∠EFH>m∠GFH

Answer 1

Triangle EFG is isosceles.....base angles equal

length of EF = length of FG.....sides of an isosceles triangle

FH is common to triangles EFH and GFH

length of EH is greater than length of GH.....given

Therefore, angle mEFH>mGFH.....If 2 triangles have 2 sides of one equal respectively to 2 sides of the other, but the 3rd side of the 1st is greater than the third side of 2nd, the the angle opposite the 3rd side of the first is greater than the angle opposite the 3rd side of the second.