How to find the number of sides of a polygon?
For example, a six-sided polygon is a hexagon, and a three-sided one is a triangle. The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon. Subtract the interior angle from 180.
How do you find the interior angles of a polygon?
Or, sum of interior angles of the polygon = (2n-4) × 90 degree. If the polygon is regular polygon, then all the interior angle of the polygon is equal. So , each angle of the regular polygon = (2n-4)/n × 90 degree. What is the formula to get the sides of a polygon with exterior?
What is the sum of interior angles of a 15 sided polygon?
What is the sum of interior angles of a 15 sided polygon? Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles.
How many sides does a polygon with N angles have?
If the polygon has n angles then it has n sides. I am not sure what you mean by using an angle but here is how you can use the sum of the angles. The sum of the angles of a triangle is 180 degrees. Take any convex polygon (not necessarily regular!) and divide it into n-2 triangles where n is the number of sides.
How do you find the sides of a 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 168?
Therefore, there are 30 sides in the given regular polygon whose interior angle is \[{{168}^{\circ }}\].
How do you find the number of sides of a regular polygon if each interior angle of the polygon is 140?
Since the interior angle of the given regular polygon is 140∘.The sum of the interior angles =(2n−4)× right angles.So, 140n=(2n−4)×90∘or, 140n=180n−360.
How do you calculate the number of sides of a regular polygon whose interior angles are each 156?
The sum of an interior angle and an exterior angle is 180°, so if the interior angle is 156°, then the exterior angle = 180° - 156° = 24°. In a regular polygon, the sum of all the exterior angles lying in the polygon adds up to 360°. Therefore, the number of sides of the polygon is 15.
How do you find the number of sides of a regular polygon with an interior angle of 162?
Summary: The number of sides of a regular polygon, if each of its interior angles is 162° is 20.
How many sides does a regular polygon have if the interior angle is 165?
24 sidesHow many sides does a regular polygon have if each of its interior angles is 165°? Thus, the regular polygon has 24 sides.
How many sides does a polygon have if the sum of the interior angles is 1440?
10 sided polygonThe sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.
How many sides does a regular polygon have with an interior angle of 144?
10Detailed Solution ∴ The no. of side of polygon is 10.
How many sides does a regular polygon have if each interior angle measures 172?
1 Answer. Regular polygon has 50 sides.
How do you find the number of sides of a polygon using exterior angles?
0:553:01Given one exterior angle, learn how to find the number of sides ... - YouTubeYouTubeStart of suggested clipEnd of suggested clipFor all of these because since it's a regular polygon all the exterior angles are the same thatMoreFor all of these because since it's a regular polygon all the exterior angles are the same that means all the interior angles are the same but the thing is we need to figure out well then what is the
How do you find the number of sides in a regular polygon that has an interior angle of 135?
It is a octagon ( eight sides ). so, 1080/ 8 = 135° .
What is the number of sides of a regular polygon whose interior angle is 135 degree?
8Let'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. So, the correct answer is “Option C”.