Home » In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO =…

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

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
Correct Answer: Option C
Explanation

Reflex + ∠OML + ∠ONL + ∠NLM = 360
280o + 10o + 15o + x = 360o => 305o + xo = 360o
x = 360o – 305o = 55o