Question

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

Explanation:

Step1: Identify angle - relationship

Since $m\parallel n$, the angles $(2x + 2)^{\circ}$ and $(x + 16)^{\circ}$ are vertical angles and vertical angles are equal. So we set up the equation $2x+2=x + 16$.

Step2: Solve the equation

Subtract $x$ from both sides: $2x - x+2=x - x + 16$, which simplifies to $x+2 = 16$.

Step3: Isolate $x$

Subtract 2 from both sides: $x+2-2=16 - 2$, so $x = 14$.

Answer:

$x = 14$