Question

How much degrees does a pentagon have?

Answer 1

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`


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


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