SOLUTION: the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??

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Question 541200: the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??
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Those angles are supplements.
Equations:
x + y = 180
x - y = 150
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Add and solve for "x":
2x = 330
x = 165 degrees
180-x = 15 degrees
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Cheers,
Stan H.
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