4MA0 Foundation January 2016 Paper 1 Q9
9
(a) 

Diagram NOT accurately drawn
(i) Work out the size of angle \(x\).
(ii) Give a reason for your answer.
(3)(b) PQR is an isosceles triangle.
PQ = PR
Angle RPQ = 118°
RQT is a straight line.
PQ = PR
Angle RPQ = 118°
RQT is a straight line.

Diagram NOT accurately drawn
Work out the size of angle \(z\).
(3)| Scheme | Marks |
|---|---|
| (i) 360 − 53 − 110 − 90 | M1 |
| 107 | A1 |
| (ii) Angles at a point add up to 360° | B1 |
| (3) |
| Scheme | Marks |
|---|---|
| (180 − 118) ÷ 2 (=31) | M1 |
| 180 − ‘31’ | M1 |
| 149 | A1 |
| (3) |
Notes
M1: may be seen on diagram
M1: dep or 118 + ‘31’