# Don't Just Guess, Try To Prove!

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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