SOLUTION: If exterior angle of a regular polygon is 18 find its number of sides

Algebra.Com
Question 892523: If exterior angle of a regular polygon is 18 find its number of sides
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The sum of the exterior angles of any convex polygon is 360°.  Since this
is a regular polygon the polygon has all its exterior angles the same, so each
one would be , so we have the equation:



Multiply both sides by n



Divide both sides by 18°





So it has 20 sides. The 20-sided polygon is this figure below. Notice 
that the green lines are the extensions of two adjacent sides and the 
angle between those two green lines is an exterior angle of 18°.



Edwin
RELATED QUESTIONS

If the measure of each exterior angle of a regular polygon is 18, find the number of... (answered by stanbon)
If the measure of each exterior angle of a regular polygon is 18, find the number of... (answered by pmatei)
If a exterior angle of a regular polygon is 144°, then what is the number of its sides? (answered by Alan3354,ikleyn)
If each exterior angle of a regular polygon is 30 degrees , find an interior angle and... (answered by Alan3354)
Please help me with this problem! Find the number of the sides of a regular polygon if... (answered by Alan3354)
each interior angle of a regular polygon is double of its exterior angle.Find the number... (answered by Alan3354)
Each exterior angle of a regular polygon is 18°. How many sides does the polygon... (answered by Alan3354)
Find the number of sides of a regular polygon in which each exterior angle is... (answered by Boreal)
Each exterior angle is 100º less than its interior angle of a regular polygon. Find the... (answered by KMST,MathTherapy)