The pentagon the department of defense of the united states of america is headquartered in the building called the pentagon. In a regular pentagon its interior angles are 108 degrees and its exterior angles are 72 degrees.
In the pentagon the sum of the interior angles is always equal to 540 degrees.
Does a pentagon have all equal sides. An irregular pentagon is a shape that does not have equal sides and or angles and therefore do not have specified angles. Thus since all internal angles are equal each internal angle is equal to. The angles of a pentagon add up to 540 degrees.
If all the sides of the pentagon are equal and all the angles of the pentagon are of equal measure then it is known as a regular polygon. Otherwise it is known as an irregular polygon. Nature has many examples of such polygons.
The pentagon s sides need to be straight. A regular pentagon has all equal sides and angles. Both a hexagon and a pentagon have sides with equal length resulting in equal internal angles between each sides.
All sides are now of equal length and all angles should be the same too. So a regular pentagon has 5 equal sides. How to construct a pentagon using just a compass and a straightedge.
A regular pentagon has all its sides of equal length and all its angles equal. 360 deg 5 72 deg. Using the same logic for a hexagon each.
Several other differences follow from this distinction. In an irregular pentagon. An equilateral pentagon is a polygon with five sides of equal length.
All regular polygons have equal sides and equal internal angles. A convex pentagon is one whose vertices or points where the sides meet. If any of them are curved then the shape does not qualify as a pentagon.
In contrast the regular pentagon is unique up to similarity because it is equilateral and it is equiangular its five angles are equal. This petunia is almost a perfect pentagon. A regular polygon has all equal sides.
An irregular pentagon does not. The most widely known of them are wax honeycombs in the form of hexagon which bees make for storing honey. A regular pentagon is a 5 sided regular polygon.
And a regular pentagon or star has 5 lines of symmetry. The pentagon in washington dc is 5 regular pentagons with a common center. In the case of a pentagon with 5 sides the total of all the internal angles equals 360 deg.
A 2d shape with 5 sides and all equal angles must be a regular pentagon or a 5 pointed star if you stretch the definition of all angles. However its five internal angles can take a range of sets of values thus permitting it to form a family of pentagons.