What is true about an inscribed angle in a circle?

An inscribed angle in a circle is defined as an angle formed by two chords that share an endpoint on the circle. The important characteristic of an inscribed angle is that it measures exactly half the measure of the intercepted arc, which is the arc that lies in the interior of the angle and has endpoints on the circle that coincide with the endpoints of the angle's sides.

This property holds true regardless of the size of the circle, making it a fundamental rule in circle geometry. Therefore, if you know the measure of the intercepted arc, you can find the inscribed angle by simply taking half of that measure. This relationship is a result of how angles and arcs are defined in the context of circles.

In contrast, the other options do not accurately reflect this relationship, as they suggest different proportional relationships between the inscribed angle and the intercepted arc.