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Geometry Level 2

Let \(AC\) be a line segment in the plane and \(B\) a point between \(A\) and \(C\). Construct an isosceles triangle \(PAB\) and \(QBC\) on one side of the segment \(AC\) such that \(\angle APB= \angle BQC=120^\circ\) and an isosceles triangle \(RAC\) on the other side of \(AC\) such that \(\angle ARC=120^\circ\). Find the measure of \(\angle PRQ\) in degrees.

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