CIMC 2022 Part A - Question 2, CEMC UWaterloo

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This problem is tagged with cimc, cimc22, highschool.

(Canadian Intermediate Mathematics Contest 2022, Part A, Question 2, CEMC - UWaterloo)

In the diagram, point $D$ is on side $BC$ of $\triangle ABC$. If $BD=CD=AD$ and $\angle ACD=40^{\circ}$, what is the measure of $\angle BAC$?

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