Question on: WAEC Mathematics - 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 Option: C

(\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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