Question

Verify that the sum of all exterior angles of a polygon is 360° of hexagon and pantagon ​

Answer 1

Answer:

Expert Answer

The sum of the interior angles of a regular polygon with n sides is 180(n-2). So, each interior angle has measure 180(n-2) / n. Each exterior angle is the supplement to an interior angle. Sum of exterior angles = n(360 / n) = 360.1

Answer 2

Exterior angle of regular hexagon =360/6

=60°

Interior angle of regular hexagon =180-60

=120°

Sum of all interior angle of regular hexagon =(n-2)*180

=(6-2)*180

=4*180

=720°