Question

The side opp to equal angle of a triangle are equal prove it

Answer 1

Let a triangle ABC in which AC =AB
Construction :draw AD ,the bisector of angle A,to meet BC in D.
In triangles ABD and ACD
AB = AC (given )
AD=AD (common)
angle BAD = angle CAD
triangle ABD is congruent to triangle ACD (SAS criterion )
angle B=angle C ( c. p.c.t)