How much degrees does a pentagon have?

1 Answer

The sum of interior angles is #180xx3=540^o# and each angle of a regular pentagon is #540/5=108^o#

Explanation:

There is a cool way to view this (the link below has a complete description):

We know that the sum of the interior angles of a triangle is #180^o#.

A rectangle can be divided into 2 triangles, each of which have interior angles equaling #180^o#, and so #2xx180=360^o# and that is the sum of the interior angles of a rectangle.

Each angle is #360/4=90^o#

https://www.mathsisfun.com/geometry/interior-angles-polygons.html

And we can do the same type of thing with any polygon. Take for example, the pentagon:

https://www.mathsisfun.com/geometry/interior-angles-polygons.html

The sum of interior angles is #180xx3=540^o# and each angle of a regular pentagon is #540/5=108^o#

https://www.mathsisfun.com/geometry/interior-angles-polygons.html