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360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.
Very easy when you know the formula!
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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.
How do you find a exterior angle?
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
How do you find exterior angle of a regular polygon?
By dividing number of its sides into 360 will give you the exterior angle.
Which polygon exterior angle measures 60 degrees?
Any irregular polygon can have an exterior angle measuring 60 degrees.Any irregular polygon can have an exterior angle measuring 60 degrees.Any irregular polygon can have an exterior angle measuring 60 degrees.Any irregular polygon can have an exterior angle measuring 60 degrees.
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
How do you work out the amount sides a polygon has with only the exterior angle?
If it is a regular polygon then divide the exterior angle into 360 degrees to find the amount of sides it has because the exterior angles of any polygon add up to 360 degrees.
How do you find the measure of the exterior angle of a polygon?
180 minus interior angle = exterior angle because there are 180 degrees on a straight line
How do you you find a exterior angle sum?
The exterior angles of any polygon add up to 360.
How is an exterior angle of a polygon formed?
180 - interior angle = exterior angle
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
