Question

one angle of a regular polygon is 5times the exterior angle.Find the measure of the angles and the number of sides of the polygon​

Answer 1

Hey mate!!

side of the polygon is 12

Step-by-step explanation:

Given the measure of each interior angle of a regular polygon is five times the measure of its exterior angle. 

Each interior angle of a regular polygon = n180o(n−2)  where n = number of sides of polygon

Each exterior angle of a regular polygon = n360o 

According to question,

n180o(n−2)=5×n360o 

=>n−2=10

=>n=12

Number of sides of the polygon =12

I hope it helps u