2026 PCSS P2 Q5

The points \(A,B,C,D\) and \(E\) lie on the circle. \(AD\) is the diameter of the circle, \(DT\) is a tangent to the circle, \(AET\) is a straight line and \(AD\) is parallel to \(BC\). Angle \(BCD=114^\circ\) and angle \(DAE=37^\circ\).

1. Find angle \(EBC\).
   Give a reason for each step of your working.[4]
2. Emily claims that quadrilateral \(AEDB\) is a parallelogram.
   Do you agree with her claim?
   Give a reason for each step of your working.[3]