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The measure of an interior angle of a regular polygon is 150 degrees Find the number of 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
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
Exterior angle of a heptagon?
51.428571° is the measure of an exterior angle of a heptagon. You can always find the measurements of a regular polygon by dividing 360 by the amount of sides.
How do you find how many sides of a polygon has with the measure of an exterior angle?
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
How do you find the sum of an exterior angle if you have the sides?
The sum of the exterior angles of a 2D planar polygon is always 360 degrees.
