∠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:

Given the following parameters:

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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x = 13

Step-by-step explanation:

Given: ∠LMN and ∠NMO are a linear pair of angles.

We know that linear pair of angles are supplementary.

Then ∠LMN + ∠NMO=180°

If ∠LMN = and ∠NMO = ,

Hence, the value of x=13 .