Question

prove that the sum of all angles of a regular hexagon is 720

Answer 1

In the given image the hexagon is divided into 2 triangles and one quadrilateral.

as we know that
sum of all angles of a triangle equals 180°
and sum of all angles of a quadrilateral equals 360°


all angles of triangle AFB + all angles of quadrilateral BFEC + all angles of triangle EDC = sum of all angles of hexagon ABCDEF


= 180° +360° + 180°
= 720°.

Thus, proved that sum of all angles of a hexagon equals 720°.

Answer 2

this is the most easiest way