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A Case Study of Math Counseling in Junior Two
Question meaning: in △ABC, AB=AC, then ∠ B = ∠ C;

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.