Question

The exterior angle of a regular polygon is 1 5 of its interior angle. find the number of sides of the polygon

Answer 1

The sum of   angle and  angle is  since they form a linear pair. 
Let the  angle be . 
angles are in ratio ; so, the  angle is . 
Now


...the exterior angle is equal to  
The sum of the exterior angles of a regular polygon is 
So,we multiply the  angle by the number of the sides. 
 where  is the no. of sides 
 
the answer is=