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How many sides does a regular polygon have if each exterior angle measures 20°? a. 17 sides b. 20 sides c. 21 sides d. 18 sides
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How many sides does a regular polygon have if each exterior angle measures 20°?

a.
17 sides
b.
20 sides
c.
21 sides
d.
18 sides

User Ankit Tanna
by
8.7k points

2 Answers

3 votes
the sum of the extrior angles always adds to 360
each exterior angle has to have a side to go with it

so
360/20=18 sides

answer is D
User Don Subert
by
8.9k points
6 votes
Sum of exterior angles of any polygon is 360 degrees.
Each exterior angle of a regular polygon = 360/n where n is the number of sides.
So, n = 360/20 = 18. Your answer is D


Hope this helps.
User Robin Like The Bird
by
8.9k points
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