Post-UTME Mathematics 2013 Objective — Question 78
Question 78 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.
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In fig. 5 below, RST is a tangent to the circle centre O. It touches the circle at S. U and V are at the ends of a diameter and ∠SUV=48°. Find ∠RSU.
- A. 48°
- B. 138°
- C. 42°Correct
- D. 90°
Explanation
Since UV is a diameter, ∠USV=90°, so ∠UVS=42°; by the tangent-chord (alternate segment) theorem, ∠RSU=∠UVS=42°.
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