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 336962: 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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
-----
The interior and its corresponding exterior angle are supplementary.
x + 14x = 180
15x = 180
x = 12 degrees (the exterior angle)
-----
Fact: The sum of the exterior angles is 360 degrees
---
# of exterior angles = 360/12 = 30
---
# of sides = # of exterior angles = 30
=======================================
Cheers,
Stan H.
RELATED QUESTIONS
The measure of each interior angle of a regular polygon is 14 times the measure of an... (answered by solver91311)
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)