 # How Many Sides Does A Regular Polygon Have If The Measure Of An Exterior Angle Is 36?

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

30 sidesTherefore, dividing the number of degrees by number of angles (or sides) should yield the average number of degrees per angle.

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

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

15Since 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 many sides does a polygon with an interior angle of 160 have?

18 sidesAnswer and Explanation: Hence, it has 18 sides.

## What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

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

9 sidesExplanation: 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.

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

Exterior angles of a polygon are formed when by one of its sides and extending the other side. 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.

## 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 .

## Which polygon has an exterior angle of 36?

Properties of regular decagonsInterior angle144°Exterior Angle36°Area7.694s2 approx

## 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 regular polygon have if the measure of an exterior angle is 45 degree?

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

## What is the measure of exterior angle of a hexagon?

Answer 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….

## 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° .

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

1 Answer. The polygon has 15 sides.

## 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.

## How many sides does a polygon have with an exterior angle of 10?

36 sidesIf the exterior angle of polygon is 10o then the interior angle must be 170o . In order to find the value of the interior angle of a regular polygon the equation is (n−2)180n where n is the number of sides of the regular polygon. Therefore the polygon has 36 sides.

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

It impossible for a interior angle of a regular polygon to equal degrees. … The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or .

## What is the exterior angle of a hexagon?

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