In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and < SOR = 3x. Find the value of (x + y)
Attached Figure / Diagram
A
110o
B
100o
C
80o
D
70o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36607)