1. ∠CDE ≅ ∠CED Given.
2. ΔCDE is isosceles It has two congruent angles, from 1.
3. CD ≅ CE Congruent sides of isosceles triangle CDE, from 2.
4. ∠ADC ≅ ∠BEC Supplements of congruent angles are congruent, from 1.
5. AD ≅ BE Given.
6. ΔADC ≅ ΔBEC SAS, from 3,4, and 5
7. AC ≅ BC Corresponding parts of congruent triangles, from 6.
8. ΔACB is isosceles ΔACB has two congruent sides, from 7.
Edwin