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In the diagram, O is the centre of the circle. If ∠NLM = 74o, ∠LMN = 39o and ∠LOM = x, find the value of x
waec-2020 ssce-exam-2020 waec-mathematics-2020 math
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In the diagram, O is the centre of the circle. If ∠NLM = 74o, ∠LMN = 39o and ∠LOM = x, find the value of x

A. 134o

B. 126o

C. 113o

D. 106o

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peter
Asked by peterrep:1.4K
University of Lagos Nigeria
20 August 2020

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1 answer(s)

james_mark
James_mark answeredrep:568
School not set Nigeria
20 August 2020
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LNM is a triangle and the sum of all interior angles of a triangle is 180.

74 + 39 + ∠LNM = 180

113 + ∠LNM = 180

∠LNM = 180 - 113

∠LNM = 67

x = 2 * ∠LNM

x = 2 * 67

x = 134

Answer: A

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