At △ABD,
AD = BD,
∴∠b=∠bad;
In delta delta δ△ACD,
AC = CD,
∴∠cda=∠cad;
∠CDA is the external angle of △ABD, then ∠CDA=∠B+∠BAD,
∴∠CDA=2∠B=∠B+∠C,
∠∠A =∠BAD+∠CAD∠CDA =∠CAD,
∴∠A=∠BAD+∠CDA,
∠∠CDA = 2∠B =∠b+∠C∠B =∠BAD,
∴∠a=∠b+∠b+∠c=3∠b;
In △ABC,
∠A+∠B+∠C= 180,
∴∠b= 180-∠a-∠c = 180-4∠b,
∴∠B= 180 ÷5=36,
The degree of ∴∠ABC is 36 degrees.