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In the diagram, 0 is the centre of the circle. Find the value x

In the diagram, 0 is the centre of the circle. Find the value x
  • A.
    34
  • B.
    29
  • C.
    17
  • D.
    14
Correct Answer: Option D
Explanation

POQ in a straight line
Hence, o
56o + oo – 56o
= 124o
Now, in (bigtriangleup) QOR OR = OQ = Radius
2x + 124 + 2x = 180o
4x + 124 = 180
4x = 180 – 124
4x = 56
x = (frac{56}{4})
x = 14o