Question

How many sides does a regular polygon have if the measures of an interior angle is 140

Answer 1

Answer:

Step-by-step explanation:  Let SIA= sum of interior angle=180(n-1) where n= number of sides, SEA=sum of exterior angle, IA=interior angle and EA=exterior angle

Since the polygon is regular,each exterior angle,EA=180° - given angle

⇒EA=180° - 140°=40°

⇒n=360/EA

⇒n=360/40

⇒n=9=nonagon