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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