# Of altitudes of triangles

Geometry Level 4

$$A(33,26)$$ , $$B(-2,5)$$ and $$C (\alpha, \beta)$$ are the vertices of a $$\triangle ABC$$ situated in the $$xy$$ plane. If the orthocenter of this triangle is $$H(1,2)$$, then find the coordinates of vertex $$C$$.

Submit your answer as the value of $$\alpha + \beta$$.

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