Question

look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarrow{uw}$ are parallel lines and $mangle uvs = 70^{circ}$, what is $mangle uvx$?

Explanation:

Step1: Recall linear - pair property

A linear - pair of angles is supplementary, meaning the sum of the angles in a linear - pair is 180°.
$\angle UVS$ and $\angle UVX$ form a linear - pair.

Step2: Set up the equation

Let $m\angle UVS = 70^{\circ}$ and $m\angle UVX=x$. Then $m\angle UVS + m\angle UVX=180^{\circ}$.
$70^{\circ}+x = 180^{\circ}$

Step3: Solve for $x$

Subtract 70° from both sides of the equation: $x=180^{\circ}-70^{\circ}$.
$x = 110^{\circ}$

Answer:

$110$