SOLUTION: Which of the following cannot be the measure of 1 exterior angle of a regular polygon? A) 2 B) 20 C) 25 D) 51 and 3/7 E) 120

Algebra ->  Polygons -> SOLUTION: Which of the following cannot be the measure of 1 exterior angle of a regular polygon? A) 2 B) 20 C) 25 D) 51 and 3/7 E) 120      Log On


   



Question 344835: Which of the following cannot be the measure of 1 exterior angle of a regular polygon?
A) 2 B) 20 C) 25 D) 51 and 3/7 E) 120

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The total of exterior angles of ALL polygons is 360º
The measure of the exterior angles of a regular polygon has to be 360/an integer, so 360 divided by the angle has to be an integer.
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Check each one and see if 360/it is an integer.
PS D does give an integer, I'll save you having to diddle with fractions.
It's A, B, C or E