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In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO =...

Mathematics
WAEC 2005
In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x
  • A. 40o
  • B. 50o
  • C. 55o
  • D. 75o
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Correct Answer: Option C
Explanation
Reflex + ∠OML + ∠ONL + ∠NLM = 360
280o + 10o + 15o + x = 360o => 305o + xo = 360o
x = 360o - 305o = 55o
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