2019 Nov P2 Q8.1

Question 8

$8.1$	In the diagram, $PQRS$ is a cyclic quadrilateral. Chord $RS$ is produced to $T$ . $K$ is a point on $RS$ and $W$ is a point on the circle such that $QRKW$ is a parallelogram. $PS$ and $QW$ intersect at $U$ . $P\hat ST=136^{\circ}$ and $\hat Q_1=100^{\circ}$ .

Determine, with reasons, the size of:
$\quad 8.1.1$	$\hat R$	$(2)$
$\quad 8.1.2$	$\hat P$	$(2)$
$\quad 8.1.3$	$P\hat QW$	$(3)$
$\quad 8.1.4$	$\hat U_2$	$(2)$
		$\textbf{[9]}$