A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.
Exterior angle 12 degrees Interior angle 168 degrees
180x(30-2)/30=168
A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.
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Exterior angle 12 degrees Interior angle 168 degrees
30
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
180x(30-2)/30=168
180x(30-2) all divided by 30=168
If the interior angle is 168o then the exterior angle is 180o - 168o = 12o. The sum of the exterior angles is 360o, so if each one is 12o, there are 360o ÷ 12o = 30; so there must be 30 sides. A regular polygon with 30 sides has each interior angle of 168o.