Question

in triangle abc ab=ac and d ia a point on ab such that ad=dc=bc then angle bac=?

Answer 1

so according to fig.,
x=2y(ext. angle = sum of int. oppoite angles.)
 so DBC=ACB=2y
 so BAC+ABC+BCA=180  
y+2y+2y=180
5y=180
y=180/5=36°

BAC=y=36°