Find the measure of $\angle P$ and $\angle S$ if $\overline{SP}||\overline{RQ}$ in fig (if you find $\angle…
Find the measure of $\angle P$ and $\angle S$ if $\overline{SP}||\overline{RQ}$ in fig (if you find $\angle R$ is there more than one method to find $m\angle P$?)
Solution
$\angle P + \angle Q = 180^{\circ}$
$\angle P + 130^{\circ} = 180^{\circ}$
$\angle P = 50^{\circ}$
$\angle R + \angle S = 180^{\circ}$
$90^{\circ} + \angle R = 180^{\circ}$
$\angle S = 90^{\circ}$
Yes, There is one more method to find the measure of $m\angle P$
$m\angle R$ and $m\angle Q$ are given. After finding $m\angle S$, the angle sum property of a quadrilateral can be applied to find $m\angle P$.