SOLUTION: What is the measure of an interior angle of a regular polygon with 16 sides?

Algebra.Com
Question 253106: What is the measure of an interior angle of a regular polygon with 16 sides?
Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!
In any polygon the sum of the exterior angles is 360.
So an exterior angle of a polygon with 16 sides = 360/16
= 22.5
Therefore the measure of an interior angle of a regular polygon
with 16 sides = 180-22.5 = 157.5 degrees

RELATED QUESTIONS

What is the measure of an interior angle in a regular polygon with 85... (answered by Alan3354)
What is the measure of an interior angle in a regular polygon with 15... (answered by MathLover1,MathTherapy)
how to find the measure of an interior angle and an exterior angle of a regular polygon... (answered by KMST)
The measure of an interior angle of a regular polygon is 140°. Classify. Regular Polygon... (answered by Alan3354,Theo)
Consider a regular polygon with the measure of an interior angle is 1.5 times the measure (answered by Alan3354)
What is the measure of each interior angle of a regular polygon with 23 sides? (to the... (answered by Alan3354)
A regular polygon has an interior angle with a measure of 135 degrees. How many sides... (answered by stanbon)
The measure of an interior angle of a regular polygon is 108. Find the number of sides... (answered by nyc_function)
The measure of an interior angle of a regular polygon is 160. How many sides does the... (answered by jim_thompson5910)