SOLUTION: Find the number of sides an equilangular polygon has if each of its angles(interior) is a. 144 (degrees) b. 120 (degrees) c. 156 (degrees) d. 162 (degrees) e. 172 4/5 (degre

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Question 254271: Find the number of sides an equilangular polygon has if each of its angles(interior) is
a. 144 (degrees)
b. 120 (degrees)
c. 156 (degrees)
d. 162 (degrees)
e. 172 4/5 (degrees)
Found 3 solutions by richwmiller, JimboP1977, stanbon:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
The rules say submit only one example of your problem type.
No similar problems.

Answer by JimboP1977(311)   (Show Source):
You can put this solution on YOUR website!
Use the formula where n is the number of sides and I is the interior angle.
So a) would be
Try the rest and see how you get on!

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Fact to use: The sum of the exterior angles is 360 degrees.
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Find the number of sides an equilangular polygon has if each of its angles(interior) is
a. 144 (degrees)
Corresponding exterior angle is 180-144 = 36 degrees
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# of sides = # of exterior angles = 360/36 = 10 sides
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b. 120 (degrees)
Corresponding exterior angle is 180-120 = 60 degrees
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# of sides = # of exterior angles = 360/60 = 6 sides
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Ex. angle = 24
# of sides = 360/24 = 15 sides
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I'll leave the rest to you.
Cheers,
Stan H.
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c. 156 (degrees)
d. 162 (degrees)
e. 172 4/5 (degrees)