# A geometry problem by deekshith kanagala

Geometry Level pending

Let $$ABCD$$ be a convex quadrilateral, diagonals $$AC$$ and $$BD$$ intersect at $$P$$. Let $$H_1$$ and $$H_2$$ be orthocenters of $$[PAB]$$ and $$[PCD]$$. Let $$G_1$$ and $$G_2$$ be the centroids of $$[PBC]$$ and $$[PDA]$$. Find the angle between the line joining $$H_1$$ and $$H_2$$ to the line joining $$G_1$$ and $$G_2$$.

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