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

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

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A 55^o
B 45^o
C 35^o
D 25^o

Correct Answer: Option C

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

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In the diagram, the tangent MN makes an angle of 55o with the chord PS. IF O is the ...

Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE

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