we know that the we can find the length of the segment of the circle if we can find the center angle enclosed within the segment and the radius.

we have been given two angles

x enclosed within points

wx and

yzwe can respectively find the centre angle for the given points as

2x.

Each angle

2x forms a sector of a circle within points

wx and

yzTherefore both minor arc in question will be of equal length. we do not need to know the radius unless we want the exact length of the segment.

option c

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This is my response to the question and may be incorrect. Feel free to rectify any mistakes