Question on: WAEC Mathematics - 2010

In the diagram, the tangent MN makes an angle of 55^o with the chord PS. IF O is the centre of the circle, find < RPS

A

55^o

B

45^o

C

35^o

D

25^o

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Correct Option: C

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< PRS = 90^o(Angle in a semicircle)

< PRS = 55^o (Angle between a chord and a tangent = Angle in the alternate segment)

< PSR + < PRS + < RSP = 180^o

90v + 55^o + < RSp = 180^o

< RSP = 180^o - 145^o

= 35^o

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