In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x

In the diagram, O is the center of the circle, ∠MON = 80^o, ∠LMO = 10^o and ∠LNO = 15^o. Calculate the value of x

A.

40^o

B.

50^o

C.

55^o

D.

75^o

View answer & explanation

Correct answer is C

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

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