Let's copy the diagram and mark the angles we are asked to compare.
We can see that two sides of â–³ DGE are congruent to two sides of â–³ BAC. However, the third side of â–³ DGE is longer than the third side of â–³ BAC.
DG &≅ BA
GE &≅ AC
ED&> BC
According to the Converse of the Hinge Theorem, the included angle measure in â–³ DGE is greater than the included angle measure in â–³ BAC.
m∠DGE> m∠BAC
