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
Attached Figure / Diagram
A
55o
B
45o
C
35o
D
25o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Join SR
o(Angle in a semicircle)
o (Angle between a chord and a tangent = Angle in the alternate segment)
o
90v + 55o + o
o - 145o
= 35o
Source: Myschool Past Questions Archive (Record #36606)