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Mathematics

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Answer :

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Answer:

C. 244°

Step-by-step explanation:

Angle formed by two tangents is equal to half of the difference of intercepted arcs:

m∠C = 1/2(arcAXB - arcAB)
64° = 1/2(mAXB - mAB)
mAXB - mAB = 128°

The sum of the same two arcs is a full circle:

mAXB + mAB = 360°

Add the two equations together:

2mAXB = 360° + 128°
2mAXB = 488°
mAXB = 244°

Correct choice is C

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