3 years ago

If the measure of one exterior angle of a regular polygon is 156 degrees , how many sides does the polygon have ?

Mathematics

1 answer:

Burka [1]3 years ago

8 0

Answer:

15 sides

Step-by-step explanation:

with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360 degrees

one exterior angle = 180 − one interior angle

∴ one ext. < = 180 − 156 = 24 degrees

no of sides = 360 /24 = 15 s i d e s

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