Kelbee6900 Kelbee6900
  • 02-09-2017
  • Mathematics
contestada

Each interior angle of a regular polygon measures 120°. what is the name of the polygon?

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jamiexx
jamiexx jamiexx
  • 02-09-2017
the total angel of any polygons is (n as the totap side of the polygon)
(n - 2) x 180°

now we can substitute 120° into this formula
(n - 2) x 180° / n = 120° (because we're calculating each angle from the polygon, so we need to divide the equation by n)
(180n - 360) = 120n
180n - 120n = 360
60n = 360
n = 6
a 6 side polygon is hexagon.
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