SOLUTION: The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle, and find the number of sides.
Algebra.Com
Question 803871: The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle, and find the number of sides.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the exterior angles of any 
-gon is 360 degrees, so the number of sides of a regular -gon is the quotient of 360 and the measure of one exterior angle.
The sum of the measures of the interior angles of an -gon is given by 180)
. The measure of an interior angle of a regular -gon is the sum of the measures of the interior angles divided by
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
An exterior angle of a regular polygon is 72 degrees. Find the number of sides and the... (answered by ewatrrr)
An exterior angle measure of a regular polygon is given. Find the number of its sides and (answered by MathLover1)
The measure of an exterior angle of a regular polygon is 2x, and the measure of an... (answered by greenestamps)
Find the measure of an interior angle and an exterior angle of a regular polygon with 6... (answered by Nate)
how to find the measure of an interior angle and an exterior angle of a regular polygon... (answered by KMST)
The measure of an exterior angle of a regular polygon is given. Find the measure of an... (answered by scott8148)
A regular polygon has an exterior angle measure of (x+3)degrees and an interior angle... (answered by KMST)
Find the measure of an interior angle and an exterior angle of a regular decagon. (answered by KMST,ikleyn,MathTherapy)
Consider a regular polygon with the measure of an interior angle is 1.5 times the measure (answered by Alan3354)
