Answer :

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.


What is an arc?

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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