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Dmitry_Shevchenko [17]
3 years ago
12

If a regular polygon has exterior angles that measure 120 degrees. find number of sides

Mathematics
1 answer:
Semenov [28]3 years ago
4 0
The size of interior angles of a polygon is given by:
[(n-2)180]/n
where n is the number of sides.
given that the exterior angle is 120°, the interior angle will be:
x+120=180
x=180-120
x=60°
thus plugging t=in the above formula and solving for n we get:
[(n-2)180]/n=60
(n-2)180=60n
180n-360=60n
180n-60n=360
120n=360
n=360/120
n=3
thus the polygon is a 3 sided polygon, otherwise known as triangle.
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