Question 254271
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)