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In the diagram, O is the centre of the circle. If < NLM = 74\(^o\),...

Mathematics
WAEC 2020

In the diagram, O is the centre of the circle. If < NLM = 74\(^o\), < LMN = 39\(^o\) and < LOM = x, find the value of x. 

  • A. 134\(^o\)
  • B. 126\(^o\)
  • C. 113\(^o\)
  • D. 106\(^o\)
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Correct Answer: Option A
Explanation

L\(N\)M = 180\(^o\) - (74\(^o\) + 39\(^o\)) 

180\(^o\) - 113\(^o\) 

= 67\(^o\)

L\(^O\)

M = x = 2 x 67\(^o\) 

= 134\(^o\)


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