SOLUTION: Two consecutive angles of a regular octagon are bisected. What is the degree measure of each of the acute angles formed by the intersection of the two angle bisectors?

Question 984562: Two consecutive angles of a regular octagon are bisected. What is the degree measure of each of the acute angles formed by the intersection of the two angle bisectors?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!

The bisector of the angle of a regular octagon is the radius-vector from the center of the octagon to its vertex.

The bisectors of two consecutive angles of a regular octagon are two radius-vectors from the center of the octagon to its two corresponding neighbor vertices.

The angle between these two radius-vectors is deg = 45�.

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