holacoma
Answered

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Sagot :

mhanifa

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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