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Q: How do you find a number of sides of a polygon with the measure of its interior angle?

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Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.

180 sides!

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

If the interior angle is 120° then the external angle is 180 - 120 = 60° Number of sides = 360 ÷ 60 = 6. The polygon is a Hexagon.

A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.

180° - 360° / (number of sides)

If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.

40 sides

180-interior angle = exterior angle 360/exterior angle = number of sides

Each interior angle will measure 156 degrees

Each interior angle will measure 162 degrees

Yes and it is: sum of interior angles/number of sides

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