Question

look at this diagram:
diagram of two parallel lines tv and wy cut by a transversal suxz
if \\(\overleftrightarrow{tv}\\) and \\(\overleftrightarrow{wy}\\) are parallel lines and \\(m\angle tus = 139^\circ\\), what is \\(m\angle vux\\)?
blank box for answer\\(^\circ\\)
submit

Explanation:

Step1: Identify supplementary angles

$\angle TUS$ and $\angle VUX$ are supplementary (they form a linear pair on line $\overleftrightarrow{TV}$).

Step2: Calculate $\angle VUX$

Use the property that supplementary angles sum to $180^\circ$.
$m\angle VUX = 180^\circ - m\angle TUS$
$m\angle VUX = 180^\circ - 139^\circ$

Answer:

$41^\circ$