 # How Many Sides Does A Regular Polygon Have If The Measure Of An Exterior Angle Is 24?

## What is a 25 sided shape called?

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

## 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.

## 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.

## How many sides does a polygon have with an exterior angle of 12?

30 sidesSo, a regular polygon with an exterior angle measure of 12 degrees has 30 sides.

## What is a 9 sided polygon called?

NonagonIn geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

## How many sides does a regular polygon have if the measure of an exterior angle is 15?

24Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24.

## What is the interior angle of a 30 sided polygon?

5040 degreesIn geometry, a triacontagon or 30-gon is a thirty-sided polygon. The sum of any triacontagon’s interior angles is 5040 degrees….Triacontagon.Regular triacontagonSymmetry groupDihedral (D30), order 2×30Internal angle (degrees)168°Dual polygonSelf6 more rows

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

SixDivide 360 by the amount of the exterior angle to also find the number of sides of the polygon. 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.

## How many sides does a polygon with an interior angle of 160 have?

18 sidesAnswer. 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 the measure of an exterior angle is 30 degree?

12 sidesSince all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides.

## What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

## What do you call a shape with 50 sides?

In geometry, a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon.

## What is the maximum exterior angle of a regular polygon?

The sum of all the exterior angles in a polygon is equal to 360 degrees. Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon.

## Is it possible to have a regular polygon with an exterior angle of 25?

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

## Is it possible to have a regular polygon each of whose interior angle is 45?

Answer. this is equal to n×45°. ==> 135n =360 or n = (360°/135) =8/3. As n should be a positive integer, this shows that it is not possible to have such a polygon.

## Is it possible to have a regular polygon each of whose exterior angle is 50?

No its not possible to have a regular polygon each of whose exterior angle is 50 because sum of all sides is 360.

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

(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….Question 5.(a) 150°sides(d) 171°sides2 more rows

## How many sides does a regular polygon have if the measure of an exterior angle is I 400 II 450?

Explanation: The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

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

8Sum 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 .

## What is the measure of an exterior angle of a regular polygon with 10 sides?

The regular, convex decagon is a subtle and elegant shape, with 10 exterior angles of 36° , 10 interior angles of 144° , and 10 vertices (intersections of sides).