MathNet 2023-part-02 — 191 problems (EN–VI) Question 151

In $\triangle ABC$, $AC = \sqrt{3} AB$ and $BC = 2$. $D$ is a point inside $\triangle ABC$ such that $\angle BDC = 90^\circ$, $\angle DAC = 18^\circ$ and $BD = 1$. Find $\angle DAB$.