# Awesome geometry - 2

Geometry Level 5

Point P is in the interior of $$\angle$$ABC,

BP = 10 , $$\angle$$ABC = 30$$^\circ$$ .

Circle with center P and radius 2 is reflected in rays BA and BC respectively to form circles with centers Q and R .

If $$A(\triangle BQR)$$ can be expressed as $$A \sqrt{B}$$ where $$B$$ is square-free.

Find $$A + B$$

Details and Assumptions:

$$\bullet$$ $$A(\triangle BQR)$$ denotes area of $$\triangle BQR$$.

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