# 100 Followers Problem

Geometry Level 4

$\large \sum_{k=1}^{35} \sin \left(5k^\circ \right) = \tan \left(\frac {m}{n}\right)^\circ$.

The equation above holds true for coprime positive integers $m$ and $n$, where $\dfrac {m}{n} < 90$. Find $m+n$.

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