SOLUTION: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
Algebra.Com
Question 326196: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
be the number of sides for this polygon. The measure of each interior angle of a regular polygon is given by:
180}{n})
The measure of each external angle of a regular polygon is given by:
We are given that
\ =\ \frac{(n\ -\ 2)180}{n})
Multiply both sides by :
180)
John
RELATED QUESTIONS
The measure of each interior angle of a regular polygon is 14 times the measure of an... (answered by stanbon)
the measure of each interior angle of a regular polygon is 14 times the measure of an... (answered by stanbon)
The measure of each interior angle of a regular polygon is fourteen times that of an... (answered by Alan3354)
The measure of each interior angle of a regular polygon is eight times that of an... (answered by Alan3354)
{{{The measure of each interior angle of a regular polygon is three times the measure of... (answered by Alan3354)
If the measure of each interior angle of a regular polygon is five times the measure of... (answered by stanbon)
The measure of each exterior angle of a regular polygon is (2/3) that of an interior... (answered by Alan3354)
The measure of each interior angle of a regular polygon is eight times that of an... (answered by MathLover1,mathsolverplus,ikleyn)
The measure of each interior angle of a regular polygon is 3 times larger than each... (answered by Alan3354)