Answer:
Step-by-step explanation:
solution:
given:- BE is bisector of ∠DBC and BE//AC
statement reasons
1. ∠DBE= ∠BEC 1. since, BE is bisector of ∠DBC
2.∠DBE=∠BAC 2. corresponding angle are equal
are equal.
3.∠EBC=∠BCA 3. alternative angle are equal
4.∠BAC=∠BCA 4. from statement 1,2,3
5 therefore, triangle ABC is 5. if base angle are equal it is a an isosceles triangle isosceles triangle
6. AB=BC 6.corresponding sides of equal angle
isosceles triangle are equal
proved
