In the diagram below, O is the centre of a circle NST. |NT| = |ST|

MATHEMATICS
WAEC 2023

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

  • A. \(72^0\)
  • B. \(54^0\)
  • C. \(36^0\)
  • D. \(108^0\)

Correct Answer: C. \(36^0\)

Explanation

t = ∠NTS (the angle between a tangent and a chord is equal to the angle in the alternate segment).

Therefore, t = 36°



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