Question

Based on the diagram below, what is the measure of arc DC?

28 degrees
68 degrees
108 degrees
112 degrees

Answer 1

108 °

Explanation:

∠DOC = 180° - 112° = 68°

∠DOC = 1/2(arc AB + arc DC)

68 = 1/2(y + 80 + y)

68 = y + 40

y = 28

arc dc = 80 + 28 = 108 °