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The exterior angles of any polygon add up to 360 degrees

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Q: How do you find the measure of exterior angles on a polygon?
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Given an interior angle how do you find the sum of exterior angles of a polygon?

Given a shape as such... ______________________________________ / A=72 B=65 \ \ / \_C=105__________________D=110_______/ (sorta) You take the interior angles that you have and subtract them from 360 to get their supplementary angles, which would be the measure of the outside angles corresponding to the interior angles Measure of <A= 72- so 360- 72=288*; so the measure of the exterior angle corresponding to <A is 288* You can do the same thing for the rest of the angles in the polygon. Hope it helps...


What is The sum of the exterior angles of a docegon?

I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.


What is the formula to find the sum of exterior angles of a polygon?

it always equals to 360


Find the sum of the measure of the exterior angles of a 25 gon?

4140Improved Answer:-Exterior angles = 360 degreesInterior angles = 4140 degrees


Measure of an exterior angle of a 12-gon?

To find an exterior angle of a regular 12-gon, use the formula to find the total sum of all the angles first: total sum of all angles = (n-2)*180where 'n' is the number of sides, or 12.By solving, you will find that the total sum of all angles is 1800 degrees, so since it is a regular polygon, you can divide by 12 to find the measure of each interior angle, which is 150 degrees.Once you know the measure of the interior angles, since an exterior angle is the supplement of an interior angle, subtract 150 degrees from 180 degrees (the measure of a straight line) to find the exterior angles, which will be 30 degrees.

Related questions

How do you find interior and exterior angles of an irregular polygon?

Measure them with a protractor


Find the measure of each exterior angle of a regular polygon?

Exterior angles of ANY polygon add to 360 degrees. Individual angles are therefore 360/n where n is the number if sides. 72


How can you find the sum of the exterior angles in any polygon?

The exterior angles of any polygon add up to 360 degrees


How many sides does a polygon have if the measure of each exterior angle of a regular polygon is 45 degrees?

8 Since the sum of the exterior angles of any polygon is always 360, you can divide 360 by 45 to find the number of exterior angles, which is 8. That means 8 interior angles and eight sides as well.


Describe how you can find the sum of the measures of the exterior angles of a polygon?

The exterior angles of any polygon add up to 360 degrees.


Describe how you can find the sum of the exterior angles of a polygon?

The exterior angles of any polygon always add up to 360 degrees


What is the formula to find the exterior angles?

The sum of the exterior angles of any polygon is 360 degrees.


How do you find the number of sides a regular poly gon has by knowing the angles?

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.


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 interior and exterior angles of a polygon?

Use a protractor


How do you find the measure of a regluars polygon that is a 10-gon?

The answer will depend on what measure you are interested in: interior or exterior angles, lengths of sides, principal diagonals, apothem, area.


How do you you find a exterior angle sum?

The exterior angles of any polygon add up to 360.