if the interior angles are 170, 160, 150, ...
the exterior angles are 10, 20, 30, ...
the exterior angles of any polygon sum to 360 degrees.
The interior angles of a polygon have measures 170 degrees, 160 degrees, 150 degrees, 140 degrees, ... down to some smallest angle. The numbers 170 degrees, 160 degrees, 150 degrees, 140 degrees are members of an Arithmetic Progression. Find the number of sides of the polygon.
I don't know how to solve this. Please help.
Further, if by "The numbers 170 degrees, 160 degrees, 150 degrees, 140 degrees are members of an Arithmetic Progression" you mean that all the angles are in an arithmetic progression, it follows that all exterior angles differ by 10: 10+ 20+ 30+ 40+ 50+ 60+ 70+ 80= 360. Now, how many sides are there?