The American. Math 55 is advertised in the Harvard catalog as âprobably the most difficult undergraduate math class in the country.â It is legendary among high school math prodigies, who hear terrifying stories about it in their computer camps and at the Math Olympiads.
Each interior angles of a regular nonagon measures 140^o Sum of all interior angles of any convex N-sided polygon equals to (N-2)180^o The proof of this is simple. Pick an initial point O inside a polygon, connect it with all vertices, forming N triangles. Sum of all angles of these triangles is N*180^o. To get a sum of all interior angles we should subtract a sum of all angles lying around that initial point O, that is we have to subtract 360^o.
Exterior Angles Geometry 5.2 Answer: 1. The exterior angles are supplementary to the interior angles in aregular polygon with n sides.360/n gives you the measure of each exterior angle in a regular n-gon.Therefore: n[180-(360/n)] can be used to find the sum of all angles in aregular n-gon.he measure of an interior angle in a regular octagon is ___.1. ________ 2. If the exterior angles in a regular polygon measure 72 degrees,how many sides does the figure have?2. ________ 3. The sum of the interor angles in a polygon is equal to the sum of theexterior angles. How many sides does the polygon have?3.