Let angle BAC = x
Since ABC is isosceles:
angle BCA = x
angle ABC = 180-2x
BDC is isosceles since BD=DB, then:
angle DBC = x
angle BDC = 180-2x
angle ADB = 2x
angle ABD = 180-3x
BAD is isosceles since BA=AD, then:
angle ADB = angle ABD
2x = 180-3x
x = 36
Angle BAC = 36 degrees |