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

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

A.

55o

B.

45o

C.

35o

D.

25o

View answer & explanation

Correct answer is C

Join SR

< PRS = 90o(Angle in a semicircle)

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

< PSR + < PRS + < RSP = 180o

90v + 55o + < RSp = 180o

< RSP = 180o - 145o

= 35o

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