Question

if m∠rxu = 67°, then what is m∠uxs? answer attempt 1 out of 2 m∠uxs = ° submit answer

Explanation:

Step1: Identify linear - pair angles

$\angle RXU$ and $\angle UXS$ form a linear - pair.

Step2: Recall linear - pair property

The sum of angles in a linear - pair is $180^{\circ}$. So, $m\angle RXU + m\angle UXS=180^{\circ}$.

Step3: Solve for $m\angle UXS$

Given $m\angle RXU = 67^{\circ}$, then $m\angle UXS=180^{\circ}-m\angle RXU$. Substitute $m\angle RXU = 67^{\circ}$ into the equation: $m\angle UXS = 180 - 67$.
$m\angle UXS=113^{\circ}$

Answer:

$113$