If the measure of arc AB = 60 degrees and the measure of arc CD = 20 degrees, what is the value of x?

A. 90
B. 40
C. 20
D. 180

1 answer

C. 20

Since the sum of the measures of arcs in a circle is always equal to 360 degrees, we can calculate the value of x as follows:

Arc AB = 60 degrees
Arc CD = 20 degrees

Arc AB + Arc CD + x = 360
60 + 20 + x = 360
80 + x = 360
x = 360 - 80
x = 280

Therefore, the value of x is 280 degrees.
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