#### What is the measure of an interior angle of a regular pentagon

## How do you find the measure of an interior angle of a regular pentagon?

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles , we know that the sum of all the angles is 540 degrees (from above) And there are five angles So, the measure of the interior angle of a regular pentagon is 108 degrees.

## What is the measure of 1 interior angle of a regular pentagon?

The measure of one interior angle of a regular pentagon is 108 degrees .

## What is the angle of a regular pentagon?

108°

## How do you find the sum of the interior angles of a pentagon?

From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon , which is 540 degrees.

## 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 is the measure of an interior angle of a regular hexagon?

To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above) And there are six angles So, the measure of the interior angle of a regular hexagon is 120 degrees .

## What is the sum of interior angles of a hexagon?

720°

## Is a Pentagon a regular shape?

A polygon is regular when all angles are equal and all sides are equal (otherwise it is “irregular”). This is a regular pentagon (a 5-sided polygon ).

## Does a Pentagon have equal sides?

All pentagons have five straight sides , but the sides do not have to be of equal length. A regular pentagon has five equal sides and five equal angles. In basic geometry, most problems will involve regular polygons. Each interior angle of a regular pentagon = 108 degrees.

## What is the sum of interior angles of a Heptagon?

900°

## What is the sum of interior angles of a dodecagon?

1800°

## What is the sum of the interior angle of a triangle?

180°