How to Find an Angle of a Hexagon

The interior angles of a hexagon, when added together, equal 720 degrees.
••• Jupiterimages/ Images

A hexagon is a shape with six sides. Using the correct equation, you can find the degree of each of the interior angles, or the angles inside the hexagon at the corners. Using a different formula, you can find the exterior angles of the hexagon. This process, however, only works for regular hexagons, or those in which all sides are equal. There is no equation for finding the angles of irregular hexagons.

    Calculate the interior angle, by multiplying 180(n - 2) where “n” is the number of sides -- in this case, six. Multiply 180 and 4 to get the answer. Divide this by the number of angles, which is six. This will give you the measurement in degrees of each angle, which should be 120.

    Calculate the exterior angles, or the angles outside the hexagon, by dividing 360 by “n,” where “n” equals the number of angles. In this case, you should get 60 degrees.

    Check your answers by adding up all the angles. When adding all exterior angles together, you should get 360 degrees. When adding all interior angles together, you should get 720 degrees.

Related Articles

How to Find the Number of Sides of a Polygon
How to Calculate the Sum of the Exterior Angles of...
How to Find Degrees in Polygons
How to Solve a Hexagon
Facts About Parallelograms
How to Figure Degrees in an Octagon
How to Split a Triangle Into Fourths
How to Find a Missing Angle
How To: Degree to Radian Conversion
How to Calculate the Area of a Hexagon
What Are the Degrees of a Quadrilateral?
Simple Ways to Figure Out Angles
How to Find the Radius of a Hexagon
How to Find the Diagonal of a Hexagon
How to Find the Perimeter of a Six-Sided Figure
How to Identify a Trapezoid
How to Find the Sin, Cos and Tan of an Angle
How to Calculate Sides of a Triangle
How to Calculate the Arc Length, Central Angle, and...
How to Calculate the Apothem of a Polygon