Question

Given the following: measure of arc A B equals measure of arc B C equals measure of arc C D.

In circle F, what is the measure of ∠ CED ?

A. 36°
B. 18°
C. 9°
D. 72°

Answer 1

we know that
The inscribed angle measures half of the arc it comprises.
so
∠CED=(1/2)*[arc CD]

arc AB=36°------> by central angle
then
arc CD=36°
∠CED=(1/2)*[arc CD]---- ∠CED=(1/2)*[36°]------> ∠CED=18°

the answer is
∠CED=18°