# A geometry problem by Parnab Ghosh

Geometry Level pending

Let $$P_1, P_2, \ldots , P_{2009}$$ be the points on the side $$BC$$ of a square $$ABCD$$ so that $$BP_1 = P_1 P_2 = P_2 P_3 = \cdots = P_{2008} P_{2009} = P_{2009} C$$.

Let $$Q$$ be a point on the side $$AD$$ so that $$AQ = BP_1$$.

Find the sum of angles $$\angle AP_1 Q + \angle AP_2 Q + \cdots + \angle AP_{2009} Q + \angle ACQ$$ in degrees.

×