Question

In circle D with the measure are CE=162, find measurement of CFE

Answer 1

The answer is 81 because the arc is always double the angle so just divide your arc by 2 and you would get your angle measure

Answer 2

81°

Explanation:

angle CFE is an inscribed angle. an inscribed angle is the angle formed in the interior of a circle when two secant lines intersect on the circle. an inscribed angle is equal to half of the intercepted arc. the intercepted arc is equal to 162°, therefore the inscribed angle of arc CE will be exactly half that.