SOLUTION: Question: The measure of each interior angel of a regular polygon is eleven times that of an exterior angel. How many sides does the polygon have?
Algebra ->
Polygons
-> SOLUTION: Question: The measure of each interior angel of a regular polygon is eleven times that of an exterior angel. How many sides does the polygon have?
Log On
Question 209050: Question: The measure of each interior angel of a regular polygon is eleven times that of an exterior angel. How many sides does the polygon have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have?
------------------
ext + int = 180
11x + x = 180
12x = 180
x = 15 degrees (exterior angle measure)
============================================
The sum of the exterior angles = 360 degrees
# of exterior angles = 360/15 = 24
Therefore the number of sides is 24.
============================================
Cheers,
Stan H.
Reply to stanbon@comcast.net
(