Question

what is the relationship between an inscribed angle and its intercepted arc? the inscribed angle is twice the measure of its intercepted arc; the inscribed angle is equal to the measure of its intercepted arc; the inscribed angle is half the measure of its intercepted arc; there is no relationship between an inscribed angle and its intercepted arc

Explanation:

This is a core geometric theorem: an inscribed angle in a circle is defined by two chords with a common endpoint, and its measure is exactly half the measure of the arc that lies between the two non-common endpoints of the chords (the intercepted arc).

Answer:

The inscribed angle is half the measure of its intercepted arc