Measure Of An Interior Angle Of A Regular Pentagon

Each vertex angle of a.

Measure of an interior angle of a regular pentagon. Which is the same as the number of sides. 540 5 108 there are 108 in each interior angle of a regular pentagon. Each exterior angle is 360 5 72 degrees and each interior angle is 180 72 108 degrees.

How to find one interior angle. A regular pentagon has 5 sides 5 interior and 5 exterior angles. Sum of interior angles of a polygon with different number of sides.

In the case of a regular pentagon the interior angle is equal to 108 and the exterior angle is equal to 72. Since the pentagon is a regular pentagon the measure of each interior angle will be the same. The sum of the interior angles of a rectangular pentagon is equal to 540 degrees.

So the interior angle is 108 degrees or 3 5 radians. Interior angle sum of a pentagon 3 x 180 540 if the polygon is regular all its interior angles are equal you can use the result of the angle sum above to calculate the size of each angle. The new formula looks very much like the old formula.

180 degrees pi radians so 108 degrees 108 180 radians or 3 5 radians. The measure of each interior angle of a regular polygon is equal to the sum of interior angles of a regular polygon divided by the number of sides. An equilateral pentagon has five sides that are equal to each other.

Which of these two regular polygons has the larger interior angle square or pentagon. To find the measure of a single interior angle then you simply take that total for all the angles and divide it by n the number of sides or angles in the regular polygon. The interior angle measurements of a regular pentagon is 180 360 5 or 108 degrees.