Q:

# How many degrees are in a pentagon?

A:

The interior of a pentagon has five angles totaling 540 degrees. In a regular pentagon – a polygon with five congruent sides and five congruent angles – each angle is 108 degrees. Each exterior angle of a regular pentagon is 72 degrees.

## Keep Learning

Credit: msittig CC-BY 2.0

A pentagon can be either concave or convex. Concave pentagons have at least one internal angle greater than 180 degrees. This means the angle points inward on the pentagon. Convex polygons do not have any internal angles greater than 180 degrees.

To qualify as a pentagon, a polygon must have five straight sides connected to each other. If it's not a closed shape, it's not a pentagon even if it has five sides.

Sources:

## Related Questions

• A: The sum of the interior angles of a pentagon is 540 degrees. Each of the five interior angles of a regular pentagon measures 108 degrees.... Full Answer >
Filed Under:
• A: According to Math Open Reference, a concave polygon refers to a polygon or a plane figure that has one or more interior angles that measure greater than 18... Full Answer >
Filed Under:
• A: A pentagon can have from one to three right angles but only if it is an irregular pentagon. There are no right angles in a regular pentagon.... Full Answer >
Filed Under:
• A: Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a tran... Full Answer >
Filed Under:
PEOPLE SEARCH FOR