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properties of pentagon

how many sides, crners, does pentagon has right angles or any kind of angles, does it have parallel lines? does it have lines of symmetry?

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Kathye P. | Math Geek, passionate about teachingMath Geek, passionate about teaching
5.0 5.0 (150 lesson ratings) (150)

Hi, Daisy.

A pentagon is a closed figure with 5 sides and 5 angles. It CAN have right angles and parallel lines, depending on how you draw it!

The home plate in baseball is an example of a pentagon with two right angles and one pair of parallel sides. A famous pentagon is the Pentagon building in Washington, D.C. which houses the Department of Defense. It is an example of a regular pentagon.

A regular pentagon is one that has all sides and all angles congruent. The interior angles of a pentagon add up to 540°, and in a regular pentagon, each angle measures 108°.

Since all sides and angles are congruent, a regular pentagon has a line of symmetry from each vertex; it has 5 lines of symmetry.

Hope this helps!


Emmy Y. | Graduated college female, looking to help and share knowlGraduated college female, looking to hel...
5.0 5.0 (5 lesson ratings) (5)

A pentagon has 5 sides and 5 vertices.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 And there are five angles...
540 + 5 = 180

So, the measure of the interior angle of a regular pentagon is 108 degrees.

hope this helps you.


Hi Emmy,

What you wrote only applies to regular pentagons.  As Kathye pointed out, not all pentagons are regular.