Interior Angles Of A Regular Hexagon

And there are six angles.

Interior angles of a regular hexagon. N n 2 180 n 2 180 n. But the sum of the angles at o 360. The properties of regular hexagons.

Take 90 as common then it becomes. To find the measure of the interior angles we know that the sum of all the angles is 720 degrees from above. The measure of any interior angle of a regular polygon with n sides is any angle n 2 180 n example 1 let s look at an example you re probably familiar with the good old triangle.

So the sum of the interior angles 2n 90 360. To find the value of one angle we must divide by since there are angles inside of a hexagon. Multiply 180 by n 2.

In a regular hexagon all of the sides are the same length and all of the angles are equivalent. Interior angle 180 exterior angle we know the exterior angle 360 n so. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle.

Sum of interior angles 360 2n 90. The interior angle and exterior angle are measured from the same line so they add up to 180. Substitute the above value in 1 we get.

Subtract 135n from both sides of the equation. Since each of the six interior angles in a regular hexagon are equal in measure each interior angle measures 720 6 120 as shown below. The sum of the interior angles 2n 4 90.