how many sides does a regular polygon have if each of its interior angles is 120°
exceptionalmeno:
The interior angles are 120°, so the exterior angles are 180° - 120° = 60°. The exterior angles add up to 360°, so if we divide 360° by 60° we find there are 6 exterior angles. Therefore, there are 6 sides (it is a hexagon).
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Solution
_________________________________
Side of interior angle is 120
to find side of regular polygon
interior angle is 120
exterior angle is 180
so angle = 180 - 120 = 60
So we add exterior angle up to 360.
then we divide 360 from 60
360
___ = 6
60
hence the side is 6
which is called hexagon ( 6 sides )
____________________________
hope it helps
thank you
here is your answer
Solution
_________________________________
Side of interior angle is 120
to find side of regular polygon
interior angle is 120
exterior angle is 180
so angle = 180 - 120 = 60
So we add exterior angle up to 360.
then we divide 360 from 60
360
___ = 6
60
hence the side is 6
which is called hexagon ( 6 sides )
____________________________
hope it helps
thank you
Answered by
18
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