180 minus interior angle = exterior angle because there are 180 degrees on a straight line
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to find the the exterior angle, divide 360 degrees by the number of sides. so the answer is 15 degrees.
Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
360/18 = 20 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
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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.
to find the the exterior angle, divide 360 degrees by the number of sides. so the answer is 15 degrees.
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.
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.
360/18 = 20 sides
By dividing number of its sides into 360 will give you the exterior angle.
Exterior angle: 360/12 = 30 degrees Interior angle: 180-30 = 150 degrees