Isosceles Triangles <-> Angles. If the pentagon isn't regular, then one exterior angle can be larger than 90 degrees. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Polygons - Pentagons - Cool Math has free online cool math lessons, cool math games and fun math activities. The Regular Pentagon . Figure 5.1. shows a regular pentagon with all of the vertices and edges labeled. 180 = The sum of the interior angles of a hexagon is c) number of sides = number of triangles = !

The pentagram can be drawn by drawing all the diagonals of the regular pentagon. Regular pentagon. If the angles are all equal and all the sides are equal length it is a regular polygon.

In contrast, the regular pentagon is unique, because it is equilateral and moreover it is equiangular (its five angles are equal; the measure is 108 degrees). Each circle's center is one of four vertices of the pentagon. 540° ÷ 5 angles = 108° for each interior angle This shape is often used in architecture. The sum of the interior angles of a rectangular pentagon is 540°. This can be done by drawing two lines from one corner to the opposite corners. Then click Calculate. The sum of the interior angles of a pentagon is 540 degrees. Enter one value and choose the number of decimal places. Area of a Pentagon. Polygons are 2-dimensional shapes with straight sides.

In particular, the angles 36 degrees, 72 degrees and 108 degrees appeared. In Regular Polygons.

Some Relations in Regular Pentagons Angle Sum -> Vertex Angle. So, the total of all of the degrees of the angles in a polygon is 540. The sum of angle of pentagon =540 0. For a regular polygon, the total described above is spread evenly among all the interior angles, since they all have the same values. This shape is often used in architecture. In a regular polygon, the angle at each vertex is given by the formula: So, for a regular pentagon n = 5 and we have . Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Calculations at a regular pentagon, a polygon with 5 vertices. A square has 4 angles, and 360/4= 90. Each of the five interior angles of a regular pentagon measures 108 degrees. You can also add up the sums of all interior angles, and the sums of all exterior angles, of regular polygons.

180° × 3 = 540° So, each angle in a regular pentagon has 108°.

A regular pentagon can be divided into three triangles.

How to Construct a Regular Pentagon. Then click Calculate.

A regular pentagon has no right angles (5 interior angles each 108 degrees).

Answer.

Pentagon Calculator. The familiar 5-pointed star or pentagram is also a regular figure with equal sides and equal angles. Then one angle of pentagon is 108 0. This is true for any pentagon you have. That means that $\measuredangle{P_1BS}=54^{\circ}$, because segment $\overline{BS}$ divides an interior angle $\angle{ABC}$ of a regular pentagon into two angles both of equal measures.

Pentagon Calculator. Enter one value and choose the number of decimal places. An equilateral pentagon has 5 equal sides. Finding the Sum of Interior & Exterior Angles. LABEL the triangle with the letters that correspond to your discovery in the pentagon. Find a figure like this in which all 3 triangles (the big one and the two sub-triangles are isosceles. Regular pentagon inscribed in a circle Printable step-by-step instructions The above animation is available as a printable step-by-step instruction sheet , which can be used for making handouts or when a computer is not available.