Question

what is the measure of ∠x? angles are not necessarily drawn to scale.

Explanation:

Step1: Recall angle - addition property

The sum of $\angle x$ and $128^{\circ}$ is $180^{\circ}$ since they form a linear - pair of angles. So, $\angle x+128^{\circ}=180^{\circ}$.

Step2: Solve for $\angle x$

Subtract $128^{\circ}$ from both sides of the equation: $\angle x=180^{\circ}-128^{\circ}$.

Answer:

$52$