tangential convex polygon, touchpoints create polygon with same angles, regular?
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P7
April 25, 2019
convex polygonInscribed circleregular polygongeometry
Problem Statement
A convex polygon is circumscribed around a circle. Points of contact of its sides with the circle form a polygon with the same set of angles (the order of angles may differ). Is it true that the polygon is regular?