Table of Contents
What polygon has interior angles of 150?
Regular dodecagon
Dodecagon
Regular dodecagon | |
---|---|
Coxeter–Dynkin diagrams | |
Symmetry group | Dihedral (D12), order 2×12 |
Internal angle (degrees) | 150° |
Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Do all polygons interior angles add up to 360?
The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.
Is it possible to have a regular polygon each of whose interior angle is 150 Justify your answer?
It impossible for a interior angle of a regular polygon to equal degrees. … A polygon cannot have sides, so the angle can’t measure degrees.
How many sides a regular polygon have if one of its interior angle is 1500?
We get 12 sides.
What angle has 150 degrees?
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
How many diagonals are there in a regular polygon whose each interior angle is 150 7.5 degree?
The interior angles of a regular polygon measure 150 degree each. The number of diagonals of the polygon is.
Do all polygons add up to 180?
A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees. As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).
Is it possible to have a regular polygon each of whose interior angles is 100 give reason also?
Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.
What polygon has an interior angle of 140?
regular nonagon
So, the measure of the angle of a regular nonagon is 140 degrees.
How do you find the interior angles of a polygon?
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°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
What polygon has an interior angle of 120 degrees?
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon).
What is the sum of interior angles of a 10 sided polygon?
Q.3: What is the sum of interior angles of a 10-sided polygon? Answer: Given, Number of sides, n = 10. Sum of interior angles = (10 – 2) x 180° = 8 x 180° = 1440°. Practise Questions. Find the number of sides of a polygon, if each angle is equal to 135 degrees. What is the sum of interior angles of a nonagon?
What is the sum of interior angles of a regular pentagon?
For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°
What is the sum of interior angles of a regular decagon?
To find the sum of interior angles of a polygon, multiply the number of triangles formed inside the polygon to 180 degrees. For example, in a hexagon, there can be four triangles that can be formed. Thus, 4 x 180° = 720 degrees. What is the measure of each angle of a regular decagon?
Do regular and irregular polygons have the same interior angles?
Though the sum of interior angles of a regular polygon and irregular polygon with the same number of sides the same, the measure of each interior angle differs. In case of regular polygons, the measure of each interior angle is congruent to the other. However, in case of irregular polygons, the interior angles do not give the same measure.