∠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)
Responses
x = 10
x = 10
x = 12
x = 12
x = 14
x = 14
x = 13
To find the value of x, we need to use the fact that the sum of angles in a linear pair is 180 degrees.
∠LMN + ∠NMO = 180
(4x + 3) + (10x - 5) = 180
14x - 2 = 180
14x = 182
x = 13
Therefore, the value of x is 13.