Question

Given the following: MAB = mBC = mCD.

In circle F, what is the measure of
A. 7.5°

B. 30°

C. 15°

D. 45°

Answer 1

The correct answer is option B. 30°

Explanation:

Points to remember

The central angle of an arc is double the value of arc subtended on the the other part of the circle

From the figure we can see a circle with center F.

It is given that, mAB = mBC = mCD, means that, central angles of all these three arcs are equal.

To find the m<AFB

Fro the figure we get,m<CED = 15°

Therefore central angle of arc CD = 30°

So m<AFB = 30°