SOLUTION: How do you find a vertex angle for a regular octagon?

Question 9180: How do you find a vertex angle for a regular octagon?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First you need to find the sum of all the angles within a regular octagon. To do this, draw an octagon (8 sides, like a stop sign!), select a vertex (any vertex will do!), and draw diagonals from that vertex to each other vertex in the octagon. These diagonal will divide the octagon into 6 triangles (it's always 2 less than the number of sides in the figure being "diagonalized"). Each triangle has 180 degrees, which multiplied times 6 gives you 1080 degrees. This 1080 degrees represents the sum of the 8 vertex angles of the octagon. To find the size of each angle, divide 1080 by 8, or 135 degrees.

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