Question

in this figure, $overline{ab}paralleloverline{cd}$ and $mangle1 = 110^{circ}$. what is $mangle5$? enter your answer in the box.

Explanation:

Step1: Identify vertical - angle relationship

$\angle1$ and $\angle3$ are vertical angles. Since vertical angles are equal, $m\angle3 = m\angle1=110^{\circ}$.

Step2: Identify corresponding - angle relationship

$\angle3$ and $\angle5$ are corresponding angles. When $\overline{AB}\parallel\overline{CD}$, corresponding angles are equal. So $m\angle5 = m\angle3$.

Answer:

$110$