Take 2015 points on the circumference of a circle, and label them in order \(v_{1}, v_{2}, v_{3},...\). We will connect 2 vertices \(v_{x}, v_{y}\) if and only if \[ \left|v_{x}-v_{y} \right| \equiv 1007 \pmod {2015}.\]

What is the measure of all the angles at the vertices?

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