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
Correct Answer: Option C
Explanation
\(\bigtriangleup\) 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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