How many sides does a regular polygon have if the measure of an exterior angle is 40?
9 sides
The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.
How many sides does a polygon have with an exterior angle of 135?
Complete step-by-step answer: Let’s start with the assumption that the number of sides be n, this means that we have n sided regular polygon whose interior angle is 135∘. Therefore, we get the number of sides that the polygon has as 8.
What do the interior and exterior angles of a polygon add up to?
Calculating the exterior angles of regular polygons Remember the interior and exterior angle add up to 180°.
How many sides does a regular polygon have if each of its interior angles is 165 degrees?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
How many sides does a regular polygon have if each interior angle has a measure of 108?
5 sided
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
What is the internal angle between adjacent sides of a regular polygon with N sides?
As n approaches infinity, the internal angle approaches 180 degrees. For a regular polygon with 10,000 sides (a myriagon) the internal angle is 179.964°. As the number of sides increase, the internal angle can come very close to 180°, and the shape of the polygon approaches that of a circle.
How do you find the sides of a regular polygon given the interior angle?
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
How do you find the number of sides of a regular polygon if each interior angle is 135?
It is a octagon ( eight sides ). so, 1080/ 8 = 135° .
What are corresponding angles?
Definition of corresponding angles : any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
What do exterior angles add up to?
The sum of the exterior angles of a polygon is 360°.
What is the adjacent interior angle of a regular polygon?
In a regular polygon each interior is double that of the exterior angle. So if each external angle is x, the adjacent interior angle is 2x.
How many sides does a regular polygon have?
Each interior angle of a regular polygon is double of its exterior angle. Find the number of sides in the polygon. Let the measure of exterior angles be x respectively. Hence the number of sides in the polygon are 6. Was this answer helpful?
What are the angles of an irregular polygon?
An irregular polygon can have sides of any length and angles of any measure. An interior angle of a polygon is an angle inside the polygon at each of its vertices. An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
What is the measure of each exterior angle of a regular nonagon?
The measure of each exterior exterior angle of a regular nonagon is 40°. In any polygon, the sum of an interior angle and its corresponding exterior angle is 180°. Hence, the measure of each exterior exterior angle of a regular nonagon is 140°. One exterior angle of a regular polygon is 20°.