It is possible for the exterior angles of a regular polygon to measure 30°?
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2006-07-19 21:03:15 · 3 answers · asked by Zman 1 in Science & Mathematics ➔ Mathematics
number of sides of a regular polygon * exterior angle = 360°
for exterior angle =30° we get an integer value for number of sides as 12 so yeah it is possible
2006-07-19 23:12:13 · answer #1 · answered by williamair1 2 · 0⤊ 0⤋
The sum of the exterior angles of any convex polygon is 360 degrees.
A regular polygon has equal interior and exterior angles. Say x sides and angles. So:
30x = 360, x = 360/30, x = 12
The answer is that the exterior angles of a 12-gon are 30 degrees each.
2006-07-19 21:27:39 · answer #2 · answered by Dimos F 4 · 0⤊ 0⤋
30 = 360/n
n = 360/30
n = 12 sides
2006-07-20 03:53:04 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋