And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees. This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
An octagon has 8 exterior angles. The sum of the exterior angles of an octagon is 360°. Regular octagon: An octagon in which all sides and angles are equal. Each angle of a regular octagon is 135°.
Interior and exterior angles of a regular octagon assessment
Frequently Asked Questions
What is the exterior angle sum of an octagon?
45 degreesFor example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
What is the exterior angle measure of one angle for a regular octagon?
A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°.
What is the angle sum of a regular octagon?
1080°The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .