2026 MSHS P1 Q25

The diagram shows four points \(A\), \(B\), \(C\) and \(D\) which lie on the circumference of a circle. \(BD\) and \(AC\) intersect at point \(E\).

Angle \(DEC=100^\circ\) and angle \(ADB=50^\circ\).

1. Jackson claimed that line \(AD\) is parallel to line \(BC\). Justify if Jackson’s claim is correct and give a reason for each step of your working.[3]
2. Determine if point \(E\) is the centre of the circle.[1]