Tangents \( \mathrm{QA} \) and \( \mathrm{QB} \) are drawn from an external point \( \mathrm{Q} ...

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Tangents \( \mathrm{QA} \) and \( \mathrm{QB} \) are drawn from an external point \( \mathrm{Q} \) to a circle with centre \( \mathrm{O} \), such that \( \angle \mathrm{QBA}=30^{\circ} \), as shown in figure. \( \mathrm{A} \) chord \( \mathrm{BC} \) is drawn parallel to the tangent \( \mathrm{QA} \), find \( \angle \mathrm{BAC} \).
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