Question

in an isosoles triangle if ab= bc then prove that angle b=angle c​

Answer 1

angle b= anglc c (angles opposite to equal sides)..

Answer 2

draw a bisector of angle A to BC name as AD.

now in triangle ABD and ADC

AB=AC (given)

angle BAD=angle CAD (AD bisects angle A)

AD=AD (common )

by sas congruent rule

triangles ABD=ADC

therefore, by c.p.c.t angle B=angle C