Post-UTME Mathematics 2018 Objective — Question 12
Question 12 of 20 from the Post-UTME Screening (Post-UTME) Mathematics 2018 Objective paper, with the correct answer and a full explanation.
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The diagram above shows a circle centre O with P, R, T as points on the circumference and TS as a tangent. If <RTS = 48 degrees, find the value of <ORT.
- A. 24 degrees
- B. 42 degreesCorrect
- C. 48 degrees
- D. 96 degrees
Explanation
By the tangent-chord angle, the central angle ROT = 2x48 = 96 degrees. Since triangle ORT is isosceles (OR=OT), angle ORT = (180-96)/2 = 42 degrees.
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