Question #bd668

1 Answer
Mar 23, 2017

36 sides

Explanation:

If each interior angle is 170^o, then the exterior angle adjacent to it is 10^o since the interior angle and its adjacent exterior angle add to 180^o.
The sum of the exterior angles of any polygon is 360^o. Divide 360^o by the measure of each exterior angle, 10^o. The quotient, 36, tells us not only that there are 36 exterior angles, but also that there are 36 sides to the polygon, since the number of exterior angles equals the number of sides.