Question

if m∠sxt = 142°, then what is m∠uxs?

Explanation:

Step1: Identify supplementary angles

$\angle SXT$ and $\angle UXS$ are supplementary angles, meaning their sum is $180^{\circ}$.

Step2: Calculate $\angle UXS$

Let $m\angle UXS=x$. We know that $m\angle SXT + x=180^{\circ}$. Given $m\angle SXT = 142^{\circ}$, then $x = 180^{\circ}-142^{\circ}$.
$x=38^{\circ}$

Answer:

$38^{\circ}$