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In the diagram, PX is a tangent to the circle and RST is an equilateral...

Mathematics
WAEC 2008

In the diagram, PX is a tangent to the circle and RST is an equilateral triangle. Calculate < PTS
  • A. 60o
  • B. 90o
  • C. 120o
  • D. 150o
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Correct Answer: Option C
Explanation
\(\bigtriangleup\) RST is equilateral triangle, hence

< TRS = < RTS = < RSt = 60o

But < PTR = 60o(Angle between a chord and a tangent at the point of contact = Angle in the alt. segment). From the diagram < PTS = < PTR + < RTS

= 60o + 60o = 120o

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