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Answer:
122degrees
Step-by-step explanation:
Since triangle BDC is a triangle, hence;
49 + 70 + <DBC = 180
<DBC = 180 - (70+49)
<DBC = 180 - 119
<DBC = 61
Since angle at the vertex is half the angle of its intercepted arc, then;
<DBC = 1/2 x
61 = 1/2 x
x = 61 * 2
x = 122degrees
Hence the measure of arcDC is 122degrees