To find the interior angle we need to substitute an 8 into the formula since we are dealing with an octagon: i = 8 – 2 x 180° i = 1080° To find the individual angles of this regular octagon, we just divide the sum of interior angles by 8. As a result, every angle is 135°. To find the exterior angle we simply need to take 135 away from 180.
The formula for this is: We can also use 360 divided by n (number of sides of the regular polygon) to find the individual exterior angles. This works because all exterior angles always add up to 360°. Look at the example underneath! Example In this example, we have an octagon of which we want to find the interior and exterior angle.
TO FIND INTERIOR ANGLES OF TRAVERSE //COMPASS SURVEYING//
TO FIND INTERIOR ANGLE OF TRAVERSE //COMPASS SURVEYING //
Frequently Asked Questions
What is the formula for the sum of the interior angles of?
Interior and exterior angle formulas: The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.