Find The Angle

Geometry Level 1

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In \(\triangle ABC,\) \( \angle BAC = 50^{\circ}.\) A circle \(\Gamma\) is tangent to side \(AB\) and \(AC\) at points \(P,Q\) repectively. Given that \(PQ \parallel BC,\) find \(\angle ACB\) in degrees.

Details and assumptions

  • This problem is inspired by an Iran TST geometry problem.

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