360/9 = 40 degrees
An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,
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).
It will have 9 equal sides.
A nine sided nonagon is only a regular shape if it has 9 equal sides
Then it will have 9 equal sides.
The sum of the exterior angles of any polygon is 360 degrees. this is true whether the figure is regular or irregular, and irrespective of how many sides/vertices it has. For a regular nonagon, the 9 equal external angles sum to 360 degrees and so each measures 360/9 = 40 degrees.
For a regular (all sides equal length) nonagon, each internal angle is 140 degrees <http://en.wikipedia.org/wiki/Nonagon>
An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,
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).
it means you have a 9-gon that has all equal sides and all angle measures are congruent
It will have 9 equal sides.
The sum of the exterior angles of any regular polygon is equal to 360 degrees.
Angle and sides. Interior angles being equal means that exterior angles are equal.
Any shape can have an exterior angle of 45 degrees. If you are talking about exterior angle sum, it is always 360 degrees for any polygon. If you are talking about a regular polygon (equal exterior angles), it would be 360/45=8 sides. Therefore, a regular octagon has exterior angles of 45 degrees.
A nine sided nonagon is only a regular shape if it has 9 equal sides
Any square.
Then it will have 9 equal sides.