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)

Answer 1

Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180.   If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13

Answer 2

Answer: 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 = $4x+3$ and ∠NMO = $10x-5$,

$\Rightarrow4x+3+10x-5=180$

$\Rightarrow14x-2=180\\\Rightarrow14x=180+2\\\Rightarrow14x=182\\\Rightarrow\ x=\frac{182}{14}\\\Rightarrow\ x=13$

Hence, the value of x=13 .