Quick Answer: What Is The Measure Of Each Exterior Angle Of A Regular 60 Gon?

How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon..

How do you find the exterior angle of a regular gon?

b) If each interior angle is 157.5˚, then each exterior angle is 180˚157.5˚= 22.5˚. Since the sum of the exterior angles of any n-gon is 360˚, 360˚÷ 22.5˚ 16sides.

Is it possible to have a regular polygon with an exterior angle of 22?

Answer. No it is not possible to have each exterior angle 22 degrees.

Why do all exterior angles equal 360?

When all of the angles of a convex polygon converge, or pushed together, they form one angle called a perigon angle, which measures 360 degrees. If the sides of the convex polygon are increased or decreased, the sum of all of the exterior angle is still 360 degrees.

What is the definition of exterior angle?

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are “Supplementary Angles”.

How many sides does a regular polygon have if the measure of an exterior angle is 36?

10The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

What polygon has an exterior angle of 60?

regular hexagonAnswer and Explanation: 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….

What is the measure of each exterior angle of the right triangle?

An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

What is the exterior angle of a regular pentagon?

A regular polygon has equal exterior angles of 72°. (a) Calculate the size of each interior angle in the regular polygon. We do this by subtracting the exterior angle of 72° from 180°. The answer is 180° – 72° = 108°….Question 2.(a) a regular decagonexterior = °(b) a regular pentagonexterior = °interior = °1 more row

How many sides does a regular polygon have if the exterior angle is 45?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

What is the measure of each exterior angle of a regular Nonagon?

Each exterior angle of a regular nonagon has an equal measure of 40°. 1,620 degrees C.

Are all angles in a hexagon equal?

So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)…

What are the miter angles for a hexagon?

Each angle is 120 degrees and the sum of the angles is 720 degrees. A wooden hexagon made from six different pieces of wood will follow this rule. Cutting a 60-degree angle on each end of all six pieces results in six pieces of wood that will fit together and form a hexagon.

How many degrees is a hexagon?

720°Hexagon/Sum of interior angles

How many sides does a regular polygon have if the measure of each exterior angle is 60?

6.exterior angle 1= 360 . n*60=360 => n=6. n(number of sides) = 6.

What is the measure of each exterior angle?

Corollary (Exterior Angle Measures for Regular n-gons ): Each exterior angle for a regular n-gon has measure equal to 360/n degrees.

How many sides does a regular polygon have if the exterior angle is 30?

12Explanation: Sum of exterior angles of every polygon irrespective of number of its sides is 360o . As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .

What is the sum of the exterior angles of a 100 gon?

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What are the exterior angles of a hexagon?

A rule of polygons is that the sum of the exterior angles always equals 360 degrees.

What is the exterior angle of Pentagon?

So five corners, which means a pentagon. this means there are 5 exterior angles. since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .