Question

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

Explanation:

Step1: Identify angle - sum property

We know that $\angle XOZ$ is a right - angle, so $\angle XOZ = 90^{\circ}$. Also, $\angle XOZ=\angle XOY+\angle YOZ$.

Step2: Set up the equation

Let $\angle x=\angle YOZ$, $\angle XOY = 41^{\circ}$, and $\angle XOZ = 90^{\circ}$. Then $90^{\circ}=41^{\circ}+x$.

Step3: Solve for $x$

Subtract $41^{\circ}$ from both sides of the equation: $x = 90^{\circ}-41^{\circ}$.
$x = 49^{\circ}$

Answer:

$49$