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Challenge 3: The CUSTOMer is always right! (10 points in total)
Segment TM is the diameter of circle O.
Segment CU is tangent to circle O at point C.
Secant TU intersects circle O at point S.
CU = 105, SU = 66, SM = 66, and TS = x.
None of the angle measures are given.
N.B.: Diagram is not to scale!
3a. Solve for x. Show your work. (4 points)
Answer:
3b. What is the measure of angle TSM? Explain how you know. (3 points)
Answer:
3c. Based on your answers to 3a and 3b, what is the radius of circle O? Show your work. (3 points)
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Answer:
Step-by-step explanation:
As TM is a diameter
so ∠TSM=90°( angle in semi circle)
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