How Many Sides Does A Regular Polygon Have If One Exterior Angle Is 90 Degrees?

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How Many Sides Does A Regular Polygon Have If One Exterior Angle Is 90 Degrees??

4 sides

How many sides does the regular polygon if the exterior angle is 90?

Sum of exterior angles is 360 degrees. if each angle is 90 there must be 4 sides.

How many sides does a regular polygon have if each interior angle measures 90 ∘ ∘?

BRIAN M. The polygon will have 40 sides.

How many sides does a regular polygon have if the exterior angle is 1?

360°

Answer: For an exterior angle equal to 1 the total number of sides is equal to 360°.

How many sides does a regular polygon have if the measure of an exterior angle is 40 degree?

Originally Answered: How many sides are in a regular polygon that has exterior angles of 40 degrees? So the number of sides the polygon has = 360/40 = 9.

How many sides does a regular polygon have if the interior angle of a regular polygon is 162 degrees?

20

Summary: The number of sides of a regular polygon if each of its interior angles is 162° is 20.

How many sides does a regular polygon have if each exterior angle measures 36?

Expert Answers

The exterior angles of a regular polygon are also equal. Allow s to represent the number of sides of the polygon. Answer: The polygon has 10 sides.

What polygon has 40 sides?

Regular tetracontagon

In geometry a tetracontagon or tessaracontagon is a forty-sided polygon or 40-gon.

Tetracontagon.
Regular tetracontagon
Type Regular polygon
Edges and vertices 40
Schläfli symbol {40} t{20} tt{10} ttt{5}
Coxeter diagram

How many sides does a regular polygon have if each interior angle has a measure of 108?

5 sided

An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.

How many sides does the polygon have?

Other Types of Polygons
Polygon Number of Sides
Quadrilateral 4
Pentagon 5
Hexagon 6
Heptagon 7

How many sides a regular polygon have if each interior angle is 165?

24

Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.

How many sides does a regular polygon have if one of its exterior angles measures 8 degrees?

45

1 Expert Answer

The sum of the exterior angles of a regular polygon is 360 so if an exterior angle = 8 then the number of sides is 360/8 = 45.

How many sides does a regular polygon have if each exterior angle measures 72?

The number of sides is 36072=5 so it is a regular pentagon.

What polygon has 9 sides?

nonagon

A nine sided shape is a polygon called a nonagon. It has nine straight sides that meet at nine corners. The word nonagon comes from the Latin word “nona” meaning nine and “gon” meaning sides. So it literally means “nine sided shape”.

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How many sides does a polygon have if it has 27 diagonals?

The polygon has 9 sides.

How many sides does a regular polygon have if each of its interior angles is 144 degree?

10 sides

It’s a polygon with 10 sides.

How do you find the sides of a regular polygon given the interior angle?

Subtract the interior angle from 180. For example if the interior angle was 165 subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example 360 divided by 15 equals 24 which is the number of sides of the polygon.

What is the interior angle of regular polygon?

A regular polygon has all its interior angles equal to each other. For example a square has all its interior angles equal to the right angle or 90 degrees.

Interior angles of Regular Polygons.
Regular Polygon Name Each interior angle
Pentagon 108°
Hexagon 120°
Septagon 128.57°
Octagon 135°

Is it possible to have a regular polygon such that each interior angle is 45 degree give reason?

No it is not possible to have a regular polygon each of whose interior angle is 45°. Let the side be n. … so it is not possible to have a regular polygon each of whose interior angle is 45°.

What is the number of sides of a regular polygon whose each exterior angle has a measure of 45?

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

What is the name of a regular polygon having four sides?

A quadrilateral is a polygon that has exactly four sides. (This also means that a quadrilateral has exactly four vertices and exactly four angles.)

What is a polygon with 30 sides called?

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

What is a polygon with 50 sides called?

In geometry a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon. The sum of any pentacontagon’s interior angles is 8640 degrees.

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

12

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 90 sided shape called?

Regular enneacontagon

Enneacontagon
Regular enneacontagon
A regular enneacontagon
Type Regular polygon
Edges and vertices 90
Schläfli symbol {90} t{45}

How many sides does a regular Pentagon have?

five sides

Pentagon
An equilateral pentagon i.e. a pentagon whose five sides all have the same length
Edges and vertices 5
Internal angle (degrees) 108° (if equiangular including regular)

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How many sides does the polygon have if the sum of each interior angles is 1 980?

13 sides

Hence the given polygon has 13 sides.

How many sides does a regular polygon have if each exterior angle has a measure of 15?

24 sides

The polygon has 24 sides.

How many angles does a pentagon have?

In a pentagon there are 5 sides or . Substitute and find the total possible angle in a pentagon. There are 5 interior angles in a pentagon.

Do regular polygons have equal sides?

In Euclidean geometry a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Does a polygon have more sides or angles?

Does a polygon usually have more sides or more angles? Explain. A polygon has the same number of sides and angles.

How many sides does a regular polygon have if each of its interior angle is 160?

Step-by-step explanation:

If the interior angle of a regular polygon is 160 degrees then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

How many sides does a regular polygon have if each of its interior angles is 150?

12
Its interior angle has measure 150∘. Therefore the exterior angle has measure 180∘−150∘=30∘. Therefore the number of sides of the regular polygon with interior angle 150∘ is 12.

What is a polygon with N sides?

An n-gon is a polygon with n sides for example a triangle is a 3-gon. A simple polygon is one which does not intersect itself.

Example: Find Number of Sides of Polygon Given an Exterior Angle

Learn to find the number of sides of a regular polygon when given one exterior angle

Given one exterior angle learn how to find the number of sides of a polygon ex 2

How to determine the number of sides of a regular polygon given one interior angle

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