The sum of the exterior angles of any polygon is 360 degrees.
Sum of interior angles of n-sided polygon is (2n - 4) right angles or 180n - 360 degrees and you may commonly see this written in an equivalent form 180(n-2) degrees. Sum of exterior angles is always 360 degrees.
Exterior angles of ANY polygon add to 360 degrees. Individual angles are therefore 360/n where n is the number if sides. 72
(n-2)(180) use that formula to find the sum of the interior angles of a polygon in degree
First find the Exterior angle = 360 / n (No. of sides) Hence Exterior angle = 360/19 = 18.947... degrees Hence the Interior Angle is 180 - 18.947... = 161.05263... Hence for 19 sides. 19 X 161.05263... = 3060 degrees.
Measure them with a protractor
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.
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
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.
No way. All polygons have the same sum of exterior angles.You need the sum of interior angles.
The exterior angles of any polygon add up to 360 degrees
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
The exterior angles of any polygon add up to 360 degrees
The sum of the interior angles of a polygon is 2n-4 Right Angles For a nonagon (2x9)-4 RAs = 14x90°=1260° To find the interior angle of a regular nonagon, divide this by 9 which gives 140° To find the exterior angle, subtract this from 180 and you get 40°. The sum of the exterior angles of a polygon is 360°, so for a regular polygon you can also divide this by the number of sides, which in this case also gives: 360° ÷ 9 = 40°
Example: a regular decagon (ten sides) The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 8 = 1440 There are ten angles. 1440/10 = 144 An interior angle of a regular decagon is 144 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 144 = 36. The exterior angles of any polygon add up to 360. 360/10 = 36