Question

In triangle ABC,if AB =BC then how angle A=angle B?

Answer 1

Step-by-step explanation:

Draw AD perpendicular to BC

In triangle ABD and triangle ACD

AB=AC (given)

AD=AD(common in both triangles)

Angle ADB=Angle ADC(Each 90°,since AD perpendicular to BC)

Hence,∆ABD conguent to ∆ACD(R.H.S)

Therefore,Angle B=Angle C(c.p.c.t.c)

Hence proved.