All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
Providing that it is a regular polygon then it is a nonagon which has 9 sides
9
The internal angles of a regular nonagon (a polygon having 9 sides) are obtuse angles of 140o.
9099 * * * * * The sum of the interior angles is (9 - 2)*180 = 1260 degrees.
The sum of the exterior angles of a regular polygon equal 360° .If one such angle measures 40° then the polygon has 360/40 = 9 sides.
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
We solve the equation for n... since the sum of the interior angles is 180(n-2) where n is the number of sides of the polygon. So we have: 180(n-2)=1260 n-2=7 n=9 So 9 sides
Interior angle = 140 deg so exterior angle = 40 deg. Sum of exterior angles = 360 so 360/40 = 9 such angles required. So the figure has 9 sides.
The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees
1620
A nonagon or a polygon with 9 sides.
All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees
That regular polygon would have 9 sides.
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
Since the sum of the n central angles (where n is also the number of sides) of a regular polygon is 360 degrees, then our polygon has 9 sides (360/40) and it is called a nonagon.