# How many obtuse angles in a regular pentagon?

##### 1 Answer

5

#### Explanation:

To find the number of obtuse angles in a regular pentagon, we first need to find the sum of the interior angles in a pentagon. We can calculate the sum by using the formula:

#180^@(n-2)#

where:

#180^@(n-2)#

#=180^@((5)-2)#

#=180^@(3)#

#=540^@#

Since the pentagon is a regular polygon, this means that all of the

#540^@-:5#

#=108^@#

Since an obtuse is any angle greater than