How To Find The Measure Of One Interior Angle Of An Octagon. An octagons internal angles add up to 1080 degrees. How to find the measure of an interior angle.
An inscribed angle has its vertex on the circle and the sides of the angle lie on two chords of the circle. In a regular polygon each interior angle has the same angle. The measure of the inscribed angle is half that of the arc that the two sides cut out of the circle.
Using our new formula any angle n 2 180 n 8 2 180 8 135 Finding 1 interior angle of a regular Polygon Problem 5.
To find the measure of an interior angle of a regular octagon which has 8 sides apply the formula above as follows. You can do this with any convex polygon and by convex I mean that all the internal angles are less than 180 degrees. An inscribed angle has its vertex on the circle and the sides of the angle lie on two chords of the circle. If you do a little investigating youll find that the number of triangles is always two less than.