WAEC - Mathematics (2010 - No. 42)

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

55^o

45^o

35^o

25^o

Explanation

Join SR

< 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

WAEC - Mathematics (2010 - No. 42)

Explanation

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