Question

find the value of x.

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Here, the angle of $44^{\circ}$ and the angle of $(4x)^{\circ}$ are vertical angles. So, $4x = 44$.

Step2: Solve for x

Divide both sides of the equation $4x = 44$ by 4. We get $x=\frac{44}{4}$.

Answer:

$11$