Question

given m || n, find the value of x.

Explanation:

Step1: Identify angle - relationship

Since $m\parallel n$, the two given angles are corresponding angles and are equal. So, $4x + 4=5x - 14$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides: $4x+4 - 4x=5x - 14-4x$, which simplifies to $4=x - 14$.

Step3: Isolate $x$

Add 14 to both sides: $4 + 14=x-14 + 14$. So, $x = 18$.

Answer:

$x = 18$