In the diagram, PX is a tangent to the circle and RST is an equilateral triangle. Calculate < PTS

60^o

90^o

120^o

150^o

Correct answer is C

\(\bigtriangleup\) RST is equilateral triangle, hence

< TRS = < RTS = < RSt = 60^o

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

= 60^o + 60^o = 120^o

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In the diagram, PX is a tangent to the circle and RST is an equilateral triangle. Calculate < PTS

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