Question

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. If m = 64°, what is mACB?

Answer 1

mACB=32 degrees
If the measure of the arc is 64 and you are finding the measure of an inscribed angle (ACB) then you divide by two.

Answer 2

Answer;

mACB=32 degrees

Explanation;

If the measure of the arc is 64 and you are finding the measure of an inscribed angle (ACB) then you divide by two.

<ACB is an inscribed angle whose intercepted arc, AB, measures 64°. Since an inscribed angle is measured by 1/2 the measure of its intercepted arc, the measure of <ACB is (1/2)(64°) = 32°