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

The correct answer is C. 55o

Reflex + ∠OML + ∠ONL + ∠NLM = 360

280o + 10o + 15o + x = 360o => 305o + xo = 360o

x = 360o - 305o = 55o

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