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Question Number 173421 by Shrinava last updated on 11/Jul/22

In triangle  ABC, AD is the bisector  of  ∠A  meets  BC at D, if  2∠C=∠B  and AB=DC. Find ∠BAC

$$\mathrm{In}\:\mathrm{triangle}\:\:\mathrm{ABC},\:\mathrm{AD}\:\mathrm{is}\:\mathrm{the}\:\mathrm{bisector} \\ $$$$\mathrm{of}\:\:\angle\mathrm{A}\:\:\mathrm{meets}\:\:\mathrm{BC}\:\mathrm{at}\:\mathrm{D},\:\mathrm{if}\:\:\mathrm{2}\angle\mathrm{C}=\angle\mathrm{B} \\ $$$$\mathrm{and}\:\mathrm{AB}=\mathrm{DC}.\:\mathrm{Find}\:\angle\mathrm{BAC} \\ $$

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