Polygon Angle Sums Worksheet

Sample problems

Use the interior angle sum $(n-2)\cdot 180^{\circ }$ and the fact that the exterior angles of any convex polygon total $360^{\circ }$. Show your work.

1. 1. What is the sum of the interior angles of a triangle?
2. 2. Find the sum of the interior angles of a hexagon ($n=6$).
3. 3. Find the sum of the interior angles of a decagon ($n=10$).
4. 4. Which expression gives the sum of the interior angles of a polygon with $n$ sides?
   • $180^{\circ }n$
   • $(n-2)\cdot 180^{\circ }$
   • $\frac{360^{\circ }}{n}$
   • $(n-1)\cdot 180^{\circ }$

Plus 11 more problems and a full answer key in the PDF.