SOLUTION: What is the measure of an interior angle of a regular octagon? A regular hexagon?

Algebra.Com
Question 256501: What is the measure of an interior angle of a regular octagon? A regular hexagon?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The sum of the interior angles of any -gon is given by:



Therefore the measure of one interior angle of any regular -gon is given by:



Substitute 8 for and do the arithmetic. Then substitute 6 for and do the arithmetic.

John


RELATED QUESTIONS

The degree measure of interior angle of a regular hexagon is a. The degree measure of... (answered by stanbon)
what is the measure of one interior angle of a regular... (answered by KMST)
A regular hexagon has an interior angle of measure (8x)^0. Find the value of... (answered by Fombitz,KMST)
find measure of an interior angle and an exterior angle of a regular... (answered by Alan3354)
Given that the sum of the measure of the interior nobles of a hexagon is 720, find the... (answered by Alan3354)
The question is: If each interior angle of a regular polygon measures 135°, the polygon (answered by Edwin McCravy)
What is the ratio of the measure of an interior angle to the measure of an exteror angle... (answered by scott8148)
A regular octagon has a perimeter of 240 centimeters. What is the measure of each... (answered by rfer)
find the size of an interior angle of a regular... (answered by Boreal,jorel555)