For a Regular Shape (all angles measure the same), you can split it up into triangles to find the total angle measures. For example, in a square, you can only split it in half, making 2 triangles (below). A triangle always measures 180 degrees, so for an octagon you would split it into triangles from one point. If you count the triangles, you will have 8 triangles. Now Multiple 8 by i80, and your sum of angles will be 1080°.If you then divide it by the sum of the angles in a triangle, or 180 degrees, you will find that 1 angle measures 135 degrees. This rule applies to all Regular Polygons. If you still don't get it,try the link below
Chat with our AI personalities
No. An octagon is a 2-dimensional closed polygonal shape: it is NOT an angle.
45 degree
The sum of angles in degree = 180(n - 2), where n is the number of sides of the regular polygon. The sum of angles in degree = 180(n - 2); n = 8 The sum of angles in degree = 180(8 - 2) = 180(6) = 1,080 Angle in degree = (The sum of angles in degree)/n Angle in degree = (1,080)/8 = 135 Thus, in a regular octagon, the degree of an angle is 135.
Each angle is 45 degrees - eight 45 degree angles equals 360 degrees.
Each exterior angle is 45 degrees (interior angle = 135 degrees).