Question

In the figure, $△ABC$ is right angled at $A.Q$ and $R$ are points on $BC$ produced and $BC$ respectively. There is a point $P$ such that $QP\parallel AB$ and $RP\parallel AC$. Find $\angle P$.

Answer 1

$\begin{array}{c}Since,QP\parallel ABandRP\parallel AC\\ \therefore ABQPisaparalle\log ram\\ andinparlle\log ramoppsiteanglesareequaltoeachother\\ \therefore \angle P=\angle A={90}^0\end{array}$