Question

If all the angles of a hexagon are equal, find the measure of each angle?

Answer 1

Hexagon is a six sided polygon.

The sum of its interior angles is :
Formula:(number of sides -2)*180

The sum of interior angles of regular hexagon is (6-2)*180
=4*180 = 720

Formula to find each angle of regular polygon:
(The sum of all interior angles)/(number of sides).


Each angle of regular hexagon is
720/6=120


Hope it helps

Answer 2

If all the angles are equal, then It may be a regular hexagon.

We know that for a regular n-sided polygon, each angle = n-2(180)/n

Hexagon is a polygon bounded by 6 line segments.

Hence sides are 6.

Each angle of hexagon = 6-2(180)/6

=4/6*180

=2*60

=120°

If all the angles of a hexagon are equal, measure of Each angle is 120°