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The theorem for the sum of interior angles for convex polygon states that the sum of measures of the interior angles of a convex polygon with sides is $\left(n-2\right)180$.

By using the theorem for the sum of interior angles for convex polygon, the sum of the interior angles for the polygon having 102 sides is given by:

$\begin{array}{c}\left(102−2\right)180=100×180\\ =18000\end{array}$

Therefore, the sum of interior angles for the polygon is $18000°$.

The theorem for the sum of exterior angles for convex polygon states that the sum of measures of the exterior angles of a convex polygon is $360°$.

By using the theorem for the sum of exterior angles for convex polygon, the sum of the exterior angles for the polygon having 102 sides is $360°$.

Therefore, the sum of exterior angles of the polygon is $360°$.