SOLUTION: Help The Question is : Work out the size of each exterior angle of a regular 20 sided polygon? Many thanks :)

Algebra.Com
Question 834662: Help
The Question is :
Work out the size of each exterior angle of a regular 20 sided polygon?
Many thanks :)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The sum of the measures of the exterior angles of any
polygon is 360°.  Since the 20-sided polygon is a regular 
polygon, all 20 exterior angles have the same measure,
so each is  or 18° each.  The green lines
below form one exterior angle of the 20-sided polygon.
It's interesting that each exterior angle is congruent to
every central angle.  As you see below, each central angle 
also has measure 18°.


Edwin


RELATED QUESTIONS

Work out the size of an exterior and an interior angle of a regular 18-sided polygon. (answered by math_helper,Alan3354)
the size of each exterior angle of a regular polygon is 45 degrees work out the number of (answered by Alan3354)
THE SIZE OF EACH INTERIOR ANGLE OF A REGULAR POLYGON IS 11 TIMES THE SIZE OF EACH... (answered by stanbon)
what is the measure of each exterior angle of a regular 15 sided... (answered by Don2xmalabag)
The size of each interior angle is 140 degrees greater than the size of each exterior... (answered by Alan3354)
. Each exterior angle of a regular n-sided polygon measures . Find the value of n. (answered by Alan3354)
A regular polygon has q sides, calculate the size of each exterior angle of the... (answered by Alan3354)
Each exterior angle of a regular polygon is 12 how many sides does the polygon... (answered by Alan3354)
Each exterior angle of a regular polygon is 18°. How many sides does the polygon... (answered by Alan3354)