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In the diagram, < ROS = 66o and < POQ = 3x. some construction lines...

Mathematics
WAEC 2010

In the diagram, < ROS = 66o and < POQ = 3x. some construction lines are shown. Calculate the value of x.
  • A. 10o
  • B. 11o
  • C. 22o
  • D. 35o
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Correct Answer: Option B
Explanation
From the diagram, OP bisects < ROS

< POS = \(\frac{1}{2}\) < ROS = \(\frac{1}{2}\) x 66o

3x = 33o

x = \(\frac{33^o}{3}\)

= 11o

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