Answer:
Step-by-step explanation:
Let's look at the triangle inside the circle first. By the Triangle Angle-Sum Theorem the angles all have to add up to equal 180 degrees. That means that angle B is
180 - 49 - 70 = 61.
Angle B is an inscribed angle, and it happens to intercept arc DC. The rule for that is that the measure of the intercepted arc is twice the measure of the inscribed angle. That means that arc DC = 2(61) which is 122.
