# ∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point)

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## Question:

∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point) x = 10
x = 12
x = 14
x = 13

The value of x is 13

The sum of linear pair sums up to 180 degrees. This shows that:

• ∠LMN  +  ∠NMO = 180

Given the following parameters:

• ∠LMN = 4x + 3
• ∠NMO = 10x – 5

Taking the sum and equating to 180 degrees

4x + 3 + 10x – 5  = 180

14x – 2 = 180

14x = 180 + 2

14x = 182

x = 182/14

x = 13

Hence the value of x is 13

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