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

Question

(1 point)
Responses

x = 10

x = 10

x = 12

x = 12

x = 14
x = 14

x = 13

Answer 1

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.