Total Interior Angles Of A Hexagon

To find the sum of the interior angles of a hexagon divide it up into triangles.

Total interior angles of a hexagon. In geometry a hexagon from greek ἕξ hex six and γωνία gonía corner angle is a six sided polygon or 6 gon. Divide 540 by 5. Sum interior angles red 3 sided polygon triangle red 3 2 cdot180 180 circ red 4 sided polygon quadrilateral red 4 2 cdot 180 360 circ red 6 sided polygon hexagon red 6 2 cdot 180 720 circ problem 1.

As can be seen as the number of side get larger and larger the interior angle approaches 180. Because the sum of the angles of each triangle is 180 degrees. It will only reach 180 when n is infinite.

N n 2 180 n 2 180 n. S u m 6 2 180. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle.

For a hexagon n 6. Likewise the total of interior angles also approaches. 720 120 heptagon or septagon 7.

Displaystyle sum 6 2 times 180. The total internal angles of a hexagon equals 720 degrees the total interior angles of a hexagon 720 each time we add a side triangle to square square to pentagon pentagon to hexagon we add another 180. Divide 540 by 5.

Sum of the interior angles of a polygon of n sides is given by the formula n 2 180. The total of the internal angles of any simple non self intersecting hexagon is 720. So the sum of the interior angles of a hexagon is 720 degrees.