# What is the angle of an equilateral polygon?

## What is the angle of an equilateral polygon?

Examples. All regular polygons and isotoxal polygons are equilateral. An equilateral triangle is a regular triangle with 60° internal angles. An equilateral quadrilateral is called a rhombus, an isotoxal polygon described by an angle α.

Do all polygon angles add up to 180?

A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees. As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).

Do all polygons measure 360?

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

### Which polygon is 45 degrees?

An exterior angle of 45 degrees means you have an 8-sided polygon, because the sum of the exterior angles of a regular polygon is always 360 degrees (360/45 = 8).

What is the formula for interior angles of a polygon?

Lesson Summary Now you are able to identify interior angles of polygons, and you can recall and apply the formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find the sum of the interior angles of a polygon.

What do you call the four sided polygon?

Definition: A quadrilateral is a polygon with 4 sides. We name a quadrilateral by naming the four vertices in consecutive order. So we can name the quadrilateral as ABCD, or quadrilateral BCDA, or ADCB. Definition: A Trapezoid is a quadrilateral with a pair of parallel sides.

## What is the sum of a 5 sided polygon?

540°
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

What is the sum of all interior angles of a 5 sided polygon?

Sum of Interior Angles of a Polygon with Different Number of Sides:

Regular Polygons
Polygon No. of Sides Sum of Interior Angles
Triangle 3 1800
Pentagon 5 5400

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

8
Sum 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 .

### Can a regular polygon have interior angles of 45?

No it is not possible to have a regular polygon each of whose interior angle is 45°.

How are the interior angles of polygons calculated?

Interior Angles of Polygons. The sum of the measures of the interior angles of a triangle is 180 degrees. Since all the sides of equilateral triangles are the same length, all the angles are the same… The interior angles of an equilateral triangle are all 60 degrees.

What does an equilateral polygon mean in math?

Answer Wiki. An equilateral polygon means all the sides are congruent. There is also something called an equiangular polygon which means all the angles are congruent. Where these two overlap is the regular polygon.

## How to find the measure of an equilateral triangle?

To find the measure of the interior angles, we know that the sum of all the angles is 180 degrees (from above)… And there are three angles… So, the measure of the interior angle of an equilateral triangle is 60 degrees. The measure of the central angles of an equilateral triangle:

What are the interior angles of an equilateral triangle?

The interior angles of an equilateral triangle are all 60 degrees. What about a square? That’s easy! By definition, all the interior angles of a square are right angles — That means that they are all 90 degrees. What about other regular polygons?