How Many Degrees Does a Regular Polygon Have

Therefore the regular polygon has 4 sides. We can plug value.

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If the interior angle of a regular polygon is 160 degrees then the exterior angle is 20 degrees.

. And there are twelve angles So the measure of the interior angle of a regular dodecagon is 150 degrees. The sum of the degrees of the angles of a polygon equals 180 n-2 where n equals the number of sides of the polygon. If it is a Regular Polygon all sides are equal all angles are equal Shape Sides Each Angle.

Likewise what is the name of a 9 sided shape. Given one exterior angle is 90 degrees. How many sides does it haveSince its a regular polygon all the interior angles are equal so theyre all 160 degs.

Interior angle 180 - exterior angle. Thus the regular polygon has 15 sides. Also does a Nonagon have 9 sides.

We have to find the number of sides of a polygon. A regular polygon is 171 degrees how many sides does the polygon have. If the interior angle of a regular polygon is 160 degrees then the exterior angle is 20 degrees.

Total sum of all the exterior angles of the regular polygon 360 Let number of sides be n. First set the formula for each interior angle equal to the number of degrees given. Each exterior angle will be 180 - 90 90 degrees.

360 degrees around the shape divided by 9 degrees 40. Click to see full answer. So number of sides 36090 4.

Now we can use formula. The sum of the interior angles in degrees of a regular polygon is given by the formula 180n 2 where n is the number of sides. Ex 32 3 How many sides does a regular polygon have if the measure of an exterior angle is 24.

Thus the regular polygon has 24 sides. Now we can plug angle. In geometry a decagonfrom the Greek δέκα déka and γωνία gonía ten angles is a ten-sided polygon or 10-gon.

This means sum of all its interior angles n160 o. 12 Its interior angle has measure 150. The measure of exterior angle 180 165 15 no.

Learn how to determine the number of sides of a regular polygon. We have 180 - 360n 160. We are given.

360 15 24 exterior angles. N160 o180 0n2 n89n2 8n9n18. -------------------------------However a regular polygon with EXTERIOR angles of.

360 15. Of sides x measure of exterior angle 360 Solution. 180 - 165 15 measure of one ext.

How many sides does a regular polygon have if each exterior angle has a measure of 9. A self-intersecting regular decagon is known as a decagram. How many sides does the shape have.

Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24. Hoe many sides does a regular polygon have if each of its interior angle is 165 degree. A polygon is a plane shape bounded by a finite chain of straight lines.

A regular nonagon is a nine-sided shape with equal sides and equal angles of 140 degrees each. How many sides does a regular polygon have if each of its interior angles is 150. Each exterior angle of a regular polygon is 9 degrees.

Of sides 36015 24. First calculate the sum of all the interior angles of the polygon by using the formula n - 2 180 where n is the number of sides. Interior angle 179.

1 The interior and the exterior angles. 1 As the polygon is a regular polygon each of its angle will be equal 160 o. A regular polygon has one interior angle that measures 160 degrees.

Interior angle 180 - 1. 2 From eqn 1 and 2 we get. The total sum of the interior angles of a simple decagon is 1440.

What is the measure of each interior angles of a regular dodecagon. Of sides x measure of exterior angle 360 no. So the shape has 40 sides.

Measure of each exterior angle 24 Number of sides Sum of exterior angles each exterior angle 360 24 15. The interior angles of a regular polygon cannot be less than 60degrees so 24 degrees is not possible. Given that Exterior angle 24 Let number of sides n In a regular Polygon Sum of the exterior angles 360 Exterior Angle Number of sides 360 24 n 360 n 360 24 n 15 Polygon has 15 sides.

Find the number of sides of a regular polygon if one interior angle is 60 degrees. We know the sum of exterior angles is 360 degrees. Also we know that the sum of all exterior angles of any polygon is 360 degree.

A rectangle has four sides so the sum of its angles is equal to 180 4-2 or 360 degrees. More specifically a square is a regular quadrilateral or four-sided shapeIt has four equal sides and four right angles each measuring 90 degrees. Firstly we will find interior angle.

Add up to make 180. No a regular polygon has 360 degrees and it can have 4 or more sides. A pentagon has five sides so the sum of its angles is equal to 180 5-2 or 540 degrees.

The sum of all exterior angles is 360 degrees so. Exterior angle is 1 degree. Size of Interior angle 180 - 360n where n is the number of sides of the regular polygon.

The sum of all exterior angles is 360 degrees so there must be 36020 sides 18 sides. 2 the sum of the exterior angles of any convex polygon is 360. Therefore number of sides 360 each exterior angle.

NCERT Solutions for Class 8 Maths Chapter 3. Make a linear pair. Sum of the interior angles of a polygon of n sides is 180 0n2.

360n 20.

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