SOLUTION: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

Question 176831: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
Found 3 solutions by solver91311, MathLover1, Alan3354:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
The measure in degrees of an interior angle of a regular polygon is given by . Given that the measure is 150�, we can say:

Just solve the equation for n. Write back and tell me your answer.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

.....both sides multiply by

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
----------
Angle = (n-2)*180/n
150 = (n-2)*180/n
150n = 180n-360
-30n = -360
n = 12

RELATED QUESTIONS
how many sides does a regular polygon have if the measure of each interior angle is 150... (answered by stanbon)
If each interior angle of a regular polygon is 58 degrees, how many sides does the... (answered by Alan3354)
one angle of a regular polygon is 150 degrees , how many sides does this polygon have? (answered by richard1234)
If each interior angle of a regular polygon measures 140 degrees, how many sides does the (answered by Alan3354)
Each interior angle of a regular polygon measures 172 degrees. How many sides does the... (answered by Alan3354)
Each interior angle of a regular polygon measures 135�. How many sides does the polygon... (answered by Alan3354)
If an interior angle of a regular polygon measures 150 degrees, How many sides does the... (answered by MathLover1)
a regular polygon has n sides. The sum of the interior angles of the polygon is 1260... (answered by Earlsdon)
one exterior angle of a regular polygon measures 10 degrees. what is the measure of each... (answered by edjones)