Quick Answer: What Is The Measure Of An Exterior Angle Of A Regular 18 Sided Polygon?

How do you find the measure of an exterior angle in a regular 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..

What is the exterior angle of a regular 24 sided polygon?

A 24 -gon has 24 exterior angles. Each exterior angle measures 36024=15 .

What is a 100 sided polygon called?

hectogonIn 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 is a 70 sided shape called?

heptacontagonIn geometry, a heptacontagon (or hebdomecontagon from Ancient Greek ἑβδομήκοντα, seventy) or 70-gon is a seventy-sided polygon. The sum of any heptacontagon’s interior angles is 12240 degrees.

What is the exterior angle of a 25 sided polygon?

The sum of the exterior angles of any polygon is 360 degrees. To find the measure of an exterior angle of a regular polygon, we divide 360 by the number of sides of the polygon.

What is a 21 sided polygon called?

icosikaihenagonA circle is not a polygon, but a icosikaihenagon is a polygon. An icosikaihenagon is a 21-sided polygon.

What is a 25 sided polygon called?

Systematic polygon namesOnesTwenties4tetra-245penta-256hexa-267hepta-276 more rows

How many sides does a 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 a 30 sided polygon called?

triacontagonIn geometry, a triacontagon or 30-gon is a thirty-sided polygon. The sum of any triacontagon’s interior angles is 5040 degrees.

What are the measures of the exterior angles of a regular 18 Gon?

Regular PolygonsSidesNameExterior Angles17Heptdecagon21.18°18Octdecagon20.00°19Enneadecagon18.95°20Icosagon18.00°25 more rows

What is the size of an exterior angle of a regular 20 sided polygon?

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.

How many degrees is a 20 sided shape?

3240 degreesIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

Can you have a regular polygon with an exterior angle of 25 degrees?

It is not possible to have a regular polygon each of whose exterior angle is 25°.

What is the measure of an exterior angle of a regular 7 sided polygon?

Answer Expert Verified Each internal angle is 900/7 = 128.57°.

What is the measure of an exterior angle?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.

What is the measure of an exterior angle of a regular polygon of 5 sides?

(b) Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides.

What are the exterior and interior angles of a 24 sided polygon?

So, for a 24-sided regular polygon, each exterior angle = 360°/24 = 15°. Consequently, each interior angle of a 24-sided regular polygon = 180° – 15° = 165°.

What do you call a polygon with 24 sides?

IcositetragonIn 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.