2020 Nov P2 Q8.1

Question 8.1

$8.1$	$O$ is the centre of the circle. $KOM$ bisects chord $LN$ and $M\hat NO=26^{\circ}$ . $K$ and $P$ are points on the circle with $N\hat KP=32^{\circ}$ . $OP$ is drawn.

$\:\: 8.1.1$	Determine, giving reasons, the size of:
$\quad (a)$	$\hat O_2$	$(2)$
$\quad (b)$	$\hat O_1$	$(4)$
$\:\: 8.1.2$	Prove, giving reasons, that $KN$ bisects $O\hat KP$ .	$(3)$
		$\textbf{[9]}$