A regular hexagon and a regular octagon share a side. What is the measure of x, the angle between a side of the hexagon and a side of the octagon?
1 Answer
Jan 12, 2016
Explanation:
It can be seen from the sketch that the angle x is the sum of the exterior angle of the hexagon and the exterior angle of the octagon.
The exterior angles of any regular polygon add up to
The exterior angle of the octagon is
The exterior angle of the hexagon is
Therefore