Not so sure about angels, but
The sum of the exterior angles of ANY polygon is 360 degrees. The number of sides or vertices, whether the shape is regular or irregular, are irrelevant.
40
80 degrees.
Each interior angle of a regular hexagon measures 120 degrees. It has a total of 720 degrees of interior angles and a total of 360 degrees of exterior angles.
The sum of the exterior angles of any polygon is 360 degrees.
you add it all
According to theorem 5.4 Every Exterior angle of a regular polygon measures 360/N so all you would do I dived 360 by the number of sides a Nonagon have which is 9
The measure is 360/9 = 40 degrees.
It doesn't matter what shape it is, the sum of the exterior angels in any polygon is 180.
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°
360 degrees
To find ( n ) for a regular n-gon where each exterior angle measures 40 degrees, use the formula for the exterior angle of a regular polygon, which is ( \frac{360}{n} ). Setting this equal to 40 gives the equation ( \frac{360}{n} = 40 ). Solving for ( n ), we find ( n = \frac{360}{40} = 9 ). Thus, the polygon is a nonagon (9-sided polygon).
The exterior angles of any polygon add up to 360 degrees.
The sum of a regular polygons exterior angles always = 360
Each exterior angle of a regular octagon measures 45 degrees
40
If it's a regular polygon: 360/number of sides = each exterior angle
To find the sum of the interior angle measures of a polygon with ( n ) sides, use the formula ( (n - 2) \times 180^\circ ). For the sum of the exterior angle measures of any polygon, regardless of the number of sides, it is always ( 360^\circ ). Thus, you can easily calculate the interior angles based on the number of sides while remembering that the exterior angles sum to a constant value.