Any angle of pentagon?

1 Answer
Mar 6, 2018

Please see below.

Explanation:

At present your question is incomplete.
I assume that you want to ask
"What is the measure of an angle in a regular pentagon?"

For a polygon, sum of all internal angles is given by
#color (purple)((n-2)×180°)#

For a pentagon it becomes
#=>(5-2)×180°#

#=>3×180°#

#=>540°#

Now it is a regular pentagon , so all internal angkes are equal.
Therefore measure of any internal angke is #(540/5)° =108°#