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Find the angle x in the diagram above

Mathematics
WAEC 1998

Find the angle x in the diagram above

  • A. 310o
  • B. 230o
  • C. 190o
  • D. 130o
  • E. 100o
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Correct Answer: Option D
Explanation

The given shape is a pentagon(5-sided polygon) = 540º

540º - ( 105º + 105º + 50º + 50º)  = yº

yº = 230º

But yº + xº = 360º ( <s at a point) and yº = 230º

xº = 360º - 230º = 130º

 

 

 

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