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In the diagram O is the centre of the circle wh... - WAEC Mathematics 2004 Question

In the diagram, O is the centre of the circle where OS//QR and ∠SOR = 35o
A
35o
B
45o
C
55o
D
70o
correct option: c

∠SOR = ∠ORQ alternate angle.
Also ∠OQR = ∠OQR (Base angle of isosceles)
∠QOR = 108 – 2(35o) = 180 - 70o - 110o ∠QPR = 1/2QOR = 1/2(110o) ∠QPR + 55o (theorem angle at center is twice angle at circumference)

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