How many sides does a polygon have if each exterior angle is 24 degrees?
How many sides does a polygon have if each exterior angle is 24 degrees?
15
Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°? => Number of sides of polygon with each angle of 24 is 15.
What shape has an exterior angle of 24?
Summary: If an exterior angle of a regular polygon measures 24°, the polygon has 15 sides.
What is the sum of the exterior angles of a 25 sided polygon?
360∘
Explanation: Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360∘ .
What is the sum of interior and exterior angles in a polygon?
All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.
What is the measure of each exterior angle of a regular 24-sided figure enter your answer in the box?
In Geometry, we say, “The sum of the external angles is 360°.” Now, a 24-sided regular polygon has 24 turns, each with an external angle of 360°/24, right?
How do you find the number of sides of a polygon when given the exterior angle?
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.
What is the interior angle of a 24 sided polygon?
165°
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon….Icositetragon.
| Regular icositetragon | |
|---|---|
| Coxeter–Dynkin diagrams | |
| Symmetry group | Dihedral (D24), order 2×24 |
| Internal angle (degrees) | 165° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is the interior angle of polygon of 24 sides?
To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n – 2)*180 where n is the number of sides, in this case 24. So all the interior angles add to 3960 degrees.
What’s the interior angle of a 25 sided polygon?
165.6∘
The measure of each interior angle of a regular 25-sided polygon =4140∘25=165.6∘. Therefore , the required answer is 165.6∘.
What is a shape with 24 sides called?
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.
How do you find exterior angles of a polygon?
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.
How many sides has a polygon if the sum of its angles is 26 right angles?
The polygon has 15 sides. Answer.
What is the formula for exterior angles of a polygon?
The formula for the sum of the interior angles of a polygon is given by (2n-4)* right angles or (n-2)* straight angles. The sum of the exterior angles of a polygon is 360. So each exterior angle = 360/n.
What are the interior angles of a regular polygon?
In a regular polygon all angles are congruent So each exterior angle is 360/12, or 30 degrees. Each interior angle is the supplement of the exterior (interior + exterior =180). So each interior angle is 180–30, or 150 degrees.
What is the formula for the sum of exterior angles?
Sum of the Exterior Angles. The sum of the exterior angles (in degrees) for any polygon may be derived from the formula: Ó Exterior angles 180° x (n+2) n = number of sides of the polygon. This formula is valid for both regular and irregular polygons.
What is the sum of the exterior angles of?
What are Exterior Angles? They are formed on the outside or exterior of the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line. In the figure, angles 1, 2, 3, 4 and 5 are the exterior angles of the polygon.
