# Find The Angle

Geometry Level 1

Image link: http://s1.postimg.org/irl538a67/Untitled.png

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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