Question

In the given figure, find measure of $\angle PQR$, given $\ell \parallel m$

Answer 1

Since $l\parallel m$ and $PQ$ intersects them then $\angle PQR=\angle QPS$. [ Alternate angles]

or, $\angle PQR=\angle QPS={180}^o-{90}^o-{55}^o$

or, $\angle PQR={35}^o$.