Question

Point O is the center of the accompanying figure. Find x

Answer 1

We can find x only if we know that the figure is a REGULAR octagon, i.e. an octagon with all sides equal, and all interior angles equal.

We will ASSUME that the figure is a regular octagon.

For a regular polygon, the central angle subtended by each side is equal.

The central angle is 360 degrees.

So the central angle subtended by a single side euqals

a=360 degrees / 8 sides = 45 degrees / side

Since x is the total angle subtended by three sides, so

x=3*45=135 °