WAEC - Mathematics (2000 - No. 38)

In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST

42o
48o
60o
66o

Explanation

In the given diagram, 

< PQS = \(\frac{1}{2}\) x 96º = 48º ( <s at center = 2 x < at circumference)

Therefore, < PST = 48º ( alternate segment).

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