In the diagram the tangent MN makes an angle of... - WAEC Mathematics 2010 Question
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
correct option: 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
< 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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