Foundation January 2020 Paper 2R Q15
15

Diagram NOT accurately drawn
\(ABC\) is a triangle.
\(D\) and \(E\) are points such that \(ACD\) and \(BCE\) are straight lines.
reflex angle \(ABC = 298^\circ \)
angle \(ECD = 97^\circ \)
Work out the size of angle \(x\).
Give a reason for each stage of your working.
(4)
| Scheme | Marks |
|---|---|
| \(\angle ABC = 360^\circ - 298^\circ \ (= 62^\circ )\) or \(\angle BCA = 97^\circ \) | M1 |
| 21 | A1 |
| vertically opposite, (are equal) angles at (around) a point, (= 360°) angles in a triangle (= 180°) | B2 |
| (4) | |
| (4 marks) |
Notes
M1: Could be marked on diagram
B2: B2 for 3 correct reasons which must include the underlined words
B1 for 1 or 2 correct reasons which must include the underlined words
Any B marks dep on M1