Question

In circle D with the measure of minor arc CE= 30°, find m/CFE.

Answer 1

The measure of m<CFE is 330 degrees

To determine the measure of the angle, we need to know that the measure of the angle of an arc is directly related to the length of the arc: the larger the angle, the longer the arc along the circle's circumference.

From the diagram shown, we have that;

CE = 30 degrees

Then, we have;

<CE + m<CFE = 360

substitute the values

30 + m<CFE = 360

collect the like terms

m<CFE = 360 - 30

subtract the values

m<CFE = 330 degrees