Interior Angles Of A Hexagon Equal

In fact the sum of the interior angle plus the exterior angle of any polygon always add up to 180 degrees.

Interior angles of a hexagon equal. So the sum of the interior angles 2n 90 360. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle. N n 2 180 n 2 180 n.

Therefore the sum of n interior angles is 2n 4 90. Interior angle adjacent exterior angle 180 degrees. Sum of interior angles 360 2n 90.

To find the value of one angle we must divide by since there are angles inside of a hexagon. In a regular hexagon all of the sides are the same length and all of the angles are equivalent. The sum of the interior angles 2n 4 90.

A heptagon has 7 sides so we take the hexagon s sum of interior angles and add 180 to it getting us 720 180 900 degrees. Same thing for an octagon we take the 900 from before and add another 180 or another triangle getting us 1 080 degrees. This is so because when you extend any side of a polygon what you are really doing is extending a straight line and a straight line is always equal to 180 degrees.

Therefore s 180n 180 n 2 s 180n 180n 360. For any closed structure formed by sides and vertex the sum of the exterior angles is always equal to the sum of linear pairs and sum of interior angles. Sum of interior angles of a polygon formula.

Interior angles of 120 exterior angles of 60 area 1 5 3 s2 or approximately 2 5980762 s2 where s side length. 720 120 heptagon or septagon 7. Take 90 as common then it becomes.