The required value of Arc BC m = 140° Option B is correct.
Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.
Arc is the measure of angle on the circumference of circle.
Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40
Arc BC = 140°
Thus, the required value of Arc BC m = 140° Option B is correct.
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