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tensa zangetsu [6.8K]
2 years ago
6

SEE QUESTION IN IMAGE

Mathematics
1 answer:
Alinara [238K]2 years ago
7 0

Answer:

  • B. 48°

Step-by-step explanation:

∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)

m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)

m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)

Correct choice is B

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