Question

exterior angle of a regular polygon having n sides is more than that of the polygon having n² sides by 50°.find the number of sides of each polygon

Answer 1

If a polygon is regular, all n sides, and n interior or exterior angles must be equal, so the exterior angle must be 360°/n. There is no integer number of sides for which this is 50°, Seven sides is close, but no cigar, 51.42857°. ... If the measure of each exterior angle of a regular polygon is 40 degrees.