How many angles in a heptagon

As shown in the figure above, four diagonals can be drawn to divide the heptagon into five triangles. The blue lines above show just one way to divide the heptagon into triangles; there are others. The sum of interior angles of the five triangles equals the sum of interior angles of the heptagon. A regular heptagon is a heptagon in which all sides have equal length and all interior angles have equal measure. To be a regular heptagon the heptagon must have:.

Note: Regular heptagons do not have parallel sides. Irregular heptagons are the heptagon having different side lengths and angle measures. Irregular heptagons can be a convex heptagon or a concave heptagon:. It has seven sides, seven vertices and seven interior angles. Regular Heptagons: The properties of regular heptagons: All sides are the same length congruent and all interior angles are the same size congruent.

The measure of the central angles of a regular heptagon: To find the measure of the central angle of a regular heptagon, make a circle in the middle A circle is degrees around Divide that by seven angles Accept All Cookies. Accept First Party Cookies. Reject All Cookies. Here is an irregular heptagon , meaning its seven sides are not congruent and its seven interior angles are not identical:. Like other irregular polygons, irregular heptagons can be convex or concave like the heptagon image above.

Like other geometric shapes, such as the octagon, hexagon, and quadrilateral, heptagonal figures can be found in man-made objects and in nature.

Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the math tutors near you? What is a Heptagon? Table of Contents [hide] [show]. What you learned: After working your way through this lesson and video, you should have learned: What a heptagon shape looks like How many sides, angles, and diagonals a heptagon has How many degrees are in a heptagon The properties of both regular and irregular heptagons The difference between convex and concave heptagons.

Instructor: Malcolm M.