Question

polygon abcdefghijkl is a regular dodecagon side ef and gh are extended so that they meet at point o in the exterior of the polygon. find the measure of angle fog

Answer 1

We have to be able to see the angle

Answer 2

A dodecagon has 12 sides.
An exterior angle of a regular dodecagon has 360/12 = 30 deg.
Triangle FOG has 2 30-deg angles and a third angle, FOG.

m<FOG + 30 + 30 = 180

m<FOG = 120