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

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

A.
60^o
B.
90^o
C.
120^o
D.
150^o

Correct Answer: Option C

Explanation

(bigtriangleup) RST is equilateral triangle, henceo
But o(Angle between a chord and a tangent at the point of contact = Angle in the alt. segment). From the diagram

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