The diagram shows that $ABC$ is a straight line.
$AD$ runs parallel to $BE$, $
ngle BAD = 34^\circ$ and $AB = BD$.
The angles at the marked points are labelled $p^\circ$, $q^\circ$, $r^\circ$, $t^\circ$ and $s^\circ$.
A second diagram presents a circle with centre $O$, points $B$ and $D$ on the circumference, line $AC$ touching the circle only at $B$, and $BD$ as a straight line passing through $O$.
(a(i)(a))[2]
$p = \ldots$ since $\ldots$
(a(i)(b))[2]
$q = \ldots$ since $\ldots$
(a(ii))[2]
Calculate the value of $r$ and the value of $s$.
(a(iii))[2]
Find the value of $t$ and give a reason for your answer.
(b)[2]
Complete the statement.
$\angle ABD = \ldots$ because $\ldots$
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The angle is $34^\circ$” …