In this case, (n-2) x 180 = 2160, hence n-2 = 12. As a result, the polygon has 14 sides. An n-interior gon's may be divided into n triangles by dividing it into n triangles by dividing it into n triangles by dividing it into n triangles by dividing it into n triangles by dividing The total of the angles in all of these triangles is n x 180 degrees.

The sum of a regular polygon's interior angles in degrees is calculated by the formula 180 (n-2) where n is the number of sides. Because the problem involves a polygon with twelve sides, we shall set n = 12. The inner angles of this polygon add out to 180 (12-2) = 180 (10) = 1800. Thus, the sum of the degrees of **a regular polygon** is 180°(10π) = 18000π.

The total of the outer angles is always 360 degrees, which we may use to calculate the number of sides. Because the number of sides must be a natural number, 7.2 is not an option. As a result, angles of a regular polygon cannot be 130 degrees.

What is the number of sides of a polygon if the total of the interior angle measurements is 28 straight angles, 20 angles, 4500 degrees, or 36000 degrees? There can't be a single polygon that meets all of the requirements. The only polygons that meet the first two requirements are triangles and circles. Both of these have 3 sides.

Any other polygon would need at least four sides to measure 840 degrees. They could be regular polygons with four or more sides, but they would have to repeat themselves eventually so they couldn't have **infinite sides**. A square has four corners with the same angle at **each corner**, and a cube has six faces with the same angle at each corner. These are the only possibilities for regular polygons with exactly four sides.

A rectangle is defined as having two opposite and equal sides. This means that it has two sides with 180 degrees in them, two sides with 270 degrees in them, etc. In fact, any rectangle can be divided into two identical rectangles with **90 degree angles** at the ends. This means that any polygon with even numbers of sides can be split in half with no change to the overall angle measurement of the polygon.

This doesn't apply to polygons with **an odd number** of sides. For example, a triangle has three sides and an internal angle measurement of 180 degrees.

A rectangle has the same number of sides and angles as a polygon. A square is a special case of a rectangle; it is both rectilinear and equilateral. The term "square" can also be applied to **other shapes** that are equilateral triangles, such as hexagons and decagons.

There are exactly eight sides and two angles per triangle, so any triangle has **either three more sides** than angles or three less. If a triangle has three more sides than angles, then it is a quadrilateral, and if it has three less, then it is a pentagon or higher-sided figure.

All right triangles have **equal sides**, and therefore equal angles. This means that they are equilateral triangles. There are two ways to divide up the area of **an equilateral triangle**: It is either 1/2 x 1/2 = 1/4 or 1/3 x 1/2 = 1/6. Since the area of an equilateral triangle is always 1/2 times its height times its width, these options represent the same thing. Therefore, all equilateral triangles have the same area.

An isosceles triangle has two equal angles and there are two choices for each angle.