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The first volume of mathematics in Grade 8, Grade 2, is an applied problem, and I beg for the answer on my knees.
Take a small e on BC, make BE=BA, connect DE,

∫BD shares ∠ABC, ∴∠DBA=∠DBE, BD=BD,

∴δbda≌δbde,∴de=ad,∠a=∠bed，

AD = CD，

∴DE=DC,∴∠C=∠DEC，

∵∠DEC+∠BED= 180，

∴∠A+∠C= 180 .

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