Question

if m∠rxu = 48°, then what is m∠uxs?

Explanation:

Step1: Identify linear - pair relationship

$\angle RXU$ and $\angle UXS$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$.

Step2: Set up the equation

Let $m\angle UXS=x$. We know that $m\angle RXU + x=180^{\circ}$. Given $m\angle RXU = 48^{\circ}$, so $48^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-48^{\circ}$.
$x = 132^{\circ}$.

Answer:

$132^{\circ}$