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WAEC Mathematics 2023 Question 17

Question 17

Circle Theorems

In the diagram, O is the centre of the circle NST. |NT| = |ST| and ∠NTS = 36°. Find the measure of the angle marked l.

Diagram for this question
  1. A.36°
  2. B.72°
  3. C.108°
  4. D.54°
Show the answer and explanation

Answer: A (36°)

Explanation

The angle l lies between the tangent RV and the chord SN. By the alternate segment theorem it equals the angle NTS in the other segment, 36°.