Question

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

Explanation:

Step1: Recall angle - sum property

The sum of angles $\angle AOB$ and $\angle BOC$ is a right - angle (90°).

Step2: Set up the equation

We know that $\angle AOB = 62^{\circ}$ and $\angle BOC=x^{\circ}$, and $\angle AOB+\angle BOC = 90^{\circ}$. So, $62 + x=90$.

Step3: Solve for $x$

Subtract 62 from both sides of the equation: $x=90 - 62$.
$x = 28$.

Answer:

$28$