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?
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> 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?
Log On
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°.
