Higher November 2020 Paper 2R Q16
16

Diagram NOT accurately drawn
\(A\), \(B\), \(C\), \(D\) and \(E\) are points on a circle.
Angle \(EAC = 40^\circ\)
(a)
(i) Write down the size of angle \(EBC\). (1)
(ii) Give a reason for your answer. (1)
(b) Find the size of angle \(EDC\). (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 40 | B1 |
| (ii) Answer: Angles in same segment (are equal) | B1 |
| (2) |
Notes
B1: cao (may be written on the diagram)
B1: or angles at the circumference from the same arc of the circle
or angles on the same arc of the circle
Alternatively: (two applications of) Opposite angles of a cyclic quadrilateral sum to 180°
| Scheme | Marks |
|---|---|
| 140 | B1 |
| (1) | |
| (3 marks) |
Notes
B1: cao (may be written on the diagram)