Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle wxu = 139^{circ}), what is (mangle wxz)?

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, which means they add up to 180°. $\angle WXU$ and $\angle WXZ$ form a linear pair.

Step2: Set up the equation

Let $m\angle WXU = 139^{\circ}$ and $m\angle WXZ=x$. Then $m\angle WXU + m\angle WXZ=180^{\circ}$, so $139^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

Subtract 139° from both sides of the equation: $x=180^{\circ}- 139^{\circ}=41^{\circ}$.

Answer:

$41$