Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle tur = 47^{circ}$, what is $mangle vur$? submit work it out

Explanation:

Step1: Recall angle - relationship

$\angle TUR$ and $\angle VUR$ are a linear - pair of angles.

Step2: Use linear - pair property

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

Step3: Solve for $m\angle VUR$

Given $m\angle TUR = 47^{\circ}$, then $m\angle VUR=180^{\circ}-m\angle TUR$. Substitute $m\angle TUR = 47^{\circ}$ into the equation: $m\angle VUR = 180 - 47=133^{\circ}$.

Answer:

$133$