Question

Find the measure of $\angle P$ and $\angle S$ if $\overline{SP}\parallel \overline{RQ}$ & in Fig.
(If you find $m\angle R$, is there more than one method to find $m\angle P?$)

Answer 1

$SP\parallel RQ$ ...given

$\therefore \angle P+\angle Q={180}^o$ ....interior angles

$\therefore \angle P+{130}^o={180}^o$

$\therefore \angle P={50}^o$

m$\angle R={90}^o$ ...given

In $\square PQRS$,

$\angle P+\angle Q+\angle R+\angle S={360}^o$ ...Angle sum property of quadrilateral

$\therefore {50}^o+{130}^o+{90}^o+\angle S={360}^o$

$\therefore \angle S={90}^o$