Answer Step-by-step explanation:
Since the interior angle of a polygon is [tex]144[/tex]° each exterior angle will be : [tex]180[/tex]°[tex]-[/tex][tex]144[/tex]°[tex]=36[/tex]°
We know that For any convex polygon the sum of exterior angles is [tex]360[/tex] degrees.
Hence, the number of sides = the number of vertices = which is : [tex]\frac{360}{36} =10[/tex]
So your answer is :
Your polygon is a decagon with 10 sides.
