Question

if m∠rxu = 67°, then what is m∠uxs?

Explanation:

Step1: Identify angle - relationship

$\angle RXU$ and $\angle UXS$ are supplementary angles (form a linear - pair).

Step2: Use the property of supplementary angles

The sum of supplementary angles is $180^{\circ}$. Let $m\angle RXU = 67^{\circ}$ and $m\angle UXS=x$. Then $67^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 67^{\circ}=113^{\circ}$.

Answer:

$113^{\circ}$