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In the diagram O is the centre of the circle lt... - WAEC Mathematics 2010 Question

In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and < SOR = 3x. Find the value of (x + y)
A
110o
B
100o
C
80o
D
70o
correct option: b
3x = 2 x 60 = 2y (Angle at centre = 2 x angle at circumference)

3x = 2 x 60

x = \(\frac{2 \times 60}{3}\) = 40o

2 x 60 = 2y

y = 60o

x + y = 40 + 60

= 100o
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