# What is the measure of each interior angle of a regular pentagon?

##### 1 Answer

#### Explanation:

Consider this regular pentagon

Let us join vertices **three** triangles as shown. I have used letters

Since the **sum of interior angles of a triangle is #180^o#**,

In

In

In

Sum of interior angles of the pentagon is

**[using the above three results]**

Since it is a regular octagon,

Hence internal angle of a regular pentagon is