Inside , a point is chosen such that and . Prove that , and lie on the same…

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

Inside △ABC\triangle ABC, a point DD is chosen such that ∠ADC=∠ABC\angle ADC = \angle ABC and ∠ACD=∠BAC\angle ACD = \angle BAC. Prove that A,B,CA, B, C, and DD lie on the same circle.

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