How does the measure of an inscribed angle relate to the measure of its intercepted arc?

The measure of an inscribed angle is half the measure of its intercepted arc. This means that if you know the degree measure of the arc that lies between the two points on the circle where the inscribed angle's rays intersect the circle, you can find the angle's measure by dividing the arc's measure by two. This relationship holds true for any inscribed angle and its corresponding intercepted arc in a circle.