Table of Contents
How many sides does a polygon have if each exterior angle is 60?
6
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 polygon has an exterior angle of 60 degrees?
regular hexagon
The measure of each exterior angle of a regular hexagon is 60 degrees. The sum of the exterior angles of all regular polygons equal 360 degrees….
How many sides does a polygon have if each exterior angle measures 60 What is the sum of the interior angles?
6 sides
The sum of the exterior angles of a regular polygon is 360º. A polygon with 6 sides is a hexagon.
Is it possible to have a regular polygon with an exterior angle of 60?
NO IT IS NOT POSSIBLE. Step-by-step explanation: If the regular polygon has each interior angle as 60 deg, the figure is an equilateral triangle having 3 equal sides. If the regular polygon has each exterior angle as 60 deg, the figure is a hexagon having 6 equal sides.
What polygon has 60 degrees?
hexacontagon
In geometry, a hexacontagon or hexecontagon or 60-gon is a sixty-sided polygon. The sum of any hexacontagon’s interior angles is 10440 degrees….Hexacontagon.
| Regular hexacontagon | |
|---|---|
| Type | Regular polygon |
| Edges and vertices | 60 |
| Schläfli symbol | {60}, t{30}, tt{15} |
| Coxeter diagram |
What is the formula of exterior angles?
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 is the exterior angle of a regular 60?
6°
Regular hexacontagon properties A truncated hexacontagon, t{60}, is a 120-gon, {120}. One interior angle in a regular hexacontagon is 174°, meaning that one exterior angle would be 6°.
What is the sum of the exterior angles of a polygon?
360 degrees
Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.
How many sides does a regular polygon have if its exterior angles are 45?
8
Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .
How many sides does a regular polygon have if one exterior?
Question 290826: If each exterior angle of a regular polygon measures 90 degrees how many sides does the polygon have? Sum of exterior angles is 360 degrees. if each angle is 90 there must be 4 sides. Considering this what polygon has an exterior angle of 90?
Are there any polygons with angles of 60?
Assuming you mean interior angles, only one polygon has angles of 60. It is an equilateral triangle. If you meant exterior angles, then it is a hexagon. It’s got to be an equilateral triangle hasn’t it. There can’t be another regular polygon with more sides and angles that are each 60 degrees.
How to calculate the interior angle of a polygon?
The sum of the interior angles = (2n – 4) right angles where n = no, of sides. So we have a total of (2*12 – 4)right angles = (24 – 4) right angles = 20 right angles = 1800 degrees. Each interior angle = 1800/12 = 150 degrees.
Which is the sum of all exterior angles?
sum of all exterior angle in regular polygon is equal to 360 degrees.