What is the measure of an exterior angle of a 12 sided polygon?
30˚
Explanation: For a regular n -gon, the measure of an exterior angle is 360˚n . Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚ .
How do you find the interior angle of a polygon with 12 sides?
Interior Angles of a Dodecagon In a dodecagon, n = 12. Now substituting this value in the formula. The sum of the interior angles of a dodecagon can be calculated with the help of the formula: (n – 2 ) × 180° = (12 – 2) × 180° = 1800°.
What is the measure of one inner angle of a 12 sided regular polygon?
150°
It has twelve lines of reflective symmetry and rotational symmetry of order 12. A regular dodecagon is represented by the Schläfli symbol {12} and can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.
What is the number of sides of a regular polygon that has an interior measure of 120?
6 sides
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). Let us solve it step by step.
How do you find the measure of an exterior angle of a regular 12 Gon?
Sum of all the exterior angles of a polygon is 360o . As interior and exterior angles of regular polygon are all equal. One exterior angle of a regular dodecagonal polygon (12-gon) is 360o12=30o .
What is a 12 sided figure?
dodecagon
A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.
What are the measures of an interior angle and an exterior angle of a regular 12 Gon?
What is the measure of each interior angle in a regular dodecagon 12 sides )?
150 degrees
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)… And there are twelve angles… So, the measure of the interior angle of a regular dodecagon is 150 degrees.
How do you find the number of sides of a regular polygon?
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 many sides does the polygon have?
Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides….Definition of a Polygon.
| Shape | # of Sides |
|---|---|
| Quadrilateral | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
How do you find exterior angles?
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
What’s a 12 sided figure called?
What is the perimeter of a regular polygon with n sides?
The perimeter of a regular polygon with n sides is equal to the n times of a side measure. Some of the regular polygons along with their names are given below: Equilateral triangle is the regular polygon with the least number of possible sides. Square is a quadrilateral with four equal sides and it is called a 4-sided regular polygon.
How many sides are in a regular polygon that has 40°?
How many sides are in a regular polygon that has exterior angles of 40°? A regular polygon with exterior angles of 40o would have 9 side and be a nonagon. The exterior angles of any regular polygon must add up to 360o. Since the angle measure given iin the questions s 40o, take 360o 40o = 9.
What is the sum of interior angles of a regular polygon?
The sum of all interior angles of this polygon is equal to 900 degrees, whereas the measure of each interior angle is approximately equal to 128.57 degrees. However, the below figure shows the difference between a regular and irregular polygon of 7 sides. What is a Regular Polygon with 4 sides?
What is a regular polygon with equal sides and equal angles?
A polygon possessing equal sides and equal angles is called a regular polygon. Square is an example of a regular polygon with 4 equal sides and equal angles. What is a regular polygon?