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In the diagram, PTR is a tangent to the centre O. If angles TON =...

Mathematics
WAEC 2015

In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN

  • A. 132o
  • B. 126o
  • C. 108o
  • D. 102o
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Correct Answer: Option B
Explanation

In the diagram; 108° + x + x = 180° (sum of angle in a triangle)

108° + 2x = 180°

x = 180° - 108°

= 72°

x = \(\frac{72^o}{2}\)

= 36°

(Angle between tangent and a chord through the point of contact)

Hence, angle PTN = 90 + 36

= 126°


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