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