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JAMB Mathematics 2010 Objective — Question 28

Question 28 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

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Use the diagram to answer this question 28. TU is a chord, with R,T,S,O labeled in a circle. From the diagram above, find x. A. 75 B. 65 C. 55 D. 50

Diagram for question 28
  • A. 75
  • B. 65Correct
  • C. 55
  • D. 50

Explanation

Angle RTO = 90 (angle in a semicircle). R+T+S = 180 (sum of angles in a triangle). S = 180-25-90 = 65. x=65 (angle in the alternate segment).

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