Interior Angle Pentagon

Sum of all the interior angles of a polygon is equal to the product of a straight angle and two less than the number of sides of the polygon.

Interior angle pentagon. The sum of the interior angles of a rectangular pentagon is equal to 540 degrees. The interior angle of a regular pentagon n 2 x180 n 5 2 x180 5 108 the exterior angle 180 108 72 the interior angle is 35 degrees greater than exterior angle. Interior angles of a polygon formula.

Weird shaped pentagons where one side is super long will also have a sum of interior. The sum of the internal angles in a simple pentagon is 540. The interior angles of a polygon always lie inside the polygon.

The moral of this story while you can use our formula to find the sum of. A pentagon may be simple or self intersecting. Consider for instance the ir regular pentagon below.

And there are five angles. In geometry a pentagon from the greek πέντε pente and γωνία gonia meaning five and angle is any five sided polygon or 5 gon. The total interior angles of a pentagon are 540 degrees the total interior angles of a pentagon 540 each time we add a side triangle to square square to pentagon pentagon to hexagon we add another 180.

All sides are the same length congruent and all interior angles are the same size congruent. This question cannot be answered because the shape is not a regular polygon. An equilateral pentagon has five sides that are equal to each other.

Therefore the sum of the interior angles of the polygon is given by the formula. A self intersecting regular pentagon or star pentagon is called a pentagram. You can only use the formula to find a single interior angle if the polygon is regular.