smc

Note that the sum of the interior angles of a convex polygon of $n$ sides is $180(n-2{)}^{\circ }$, and each interior angle belongs to $[0,180^{\circ })$. Therefore, we must have $n-2=\lfloor \frac{2570^{\circ }}{180^{\circ }}\rfloor =15$. Then the missing angle must be $180\ast 15^{\circ }-2570^{\circ }=130^{\circ }$, so our answer is $\boxed{130^{\circ }}$ and we are done.