Answer:
59 degrees
Step-by-step explanation:
There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.
