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In the diagram lt ROS 66o and lt POQ 3x some co... - WAEC Mathematics 2010 Question

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
correct option: b

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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