Question

$\overleftrightarrow{AB}$ || $\overleftrightarrow{CD}$ in the following figure. $\overleftrightarrow{XY}$ is the transversal. If $m\angle PQA={140}^o$, find the measure of remaining angles:

Answer 1

$m\angle XPC={140}^o$, $m\angle DPQ={140}^o$, $m\angle BQY={140}^o$, $m\angle AQY={40}^o$, $m\angle PQB={40}^o$, $m\angle CPQ={40}^o$, $m\angle XPD={40}^o$.