In triangle ABD and ADC, BD = DC (AD is the median) AB = AC (Given) Angle ABD = Angle ACD = 35° (Angles opposite equal sides are equal) Since, Triangle ABD and Triangle ADC are congruent Angle BAD = Angle CAD = x Now in triangle ABC, Angle ABD + Angle BAD + Angle DAC + AngleBCA= 180 35 + 35 + x + x = 180 2x = 110 x = 55° Hence, angle BAD = 55°