Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle str = 41^{circ}$, what is $mangle stw?$

Explanation:

Step1: Recall linear - pair property

The sum of angles in a linear - pair is 180°. $\angle STR$ and $\angle STW$ form a linear - pair.

Step2: Set up the equation

Let $m\angle STR = 41^{\circ}$ and $m\angle STW=x$. Then $m\angle STR + m\angle STW=180^{\circ}$, so $41^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-41^{\circ}=139^{\circ}$.

Answer:

$139$