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olga_2 [115]
3 years ago
13

Pls answer and I will mark brainliest!

Mathematics
1 answer:
JulijaS [17]3 years ago
8 0

Answer:

  • C. 244°

Step-by-step explanation:

<u>Angle formed by two tangents is equal to half of the difference of intercepted arcs:</u>

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

<u>The sum of the same two arcs is a full circle:</u>

  • mAXB + mAB = 360°

<u>Add the two equations together:</u>

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

Correct choice is C

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