To find the measure of the intercepted arc BC when the measure of angle BAC is 18°, you can use the fact that in a circle, the measure of an inscribed angle is equal to half the measure of the intercepted arc.
So, if angle BAC is 18°, then the measure of the intercepted arc BC is:
\(18° \times 2 = 36°\)
So, the measure of intercepted arc BC is 36°, which corresponds to option B.