Foundation January 2022 Paper 1R Q8
8 \(ABC\) is a straight line and \(BCD\) is a triangle.

Diagram NOT accurately drawn
(a) Work out the value of \(x\) (2)
\(PO\), \(RO\), \(SO\) and \(TO\) are four straight lines.

Diagram NOT accurately drawn
(b)
(i) Work out the value of \(y\) (2)
(ii) Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| (\(DBC\) =) 180 – (93 + 42) (= 45) OR (\(x\) =) 93 + 42 | M1 |
| 135 | A1 |
| (2) |
Notes
M1: for method to find angle \(DBC\) OR using exterior angle is equal to the sum of the two opposite interior angles
| Scheme | Marks |
|---|---|
| (i) 360 – (90 + 100 + 114) oe | M1 |
| 56 | A1 |
| (ii) Answer: Angles at a point sum to 360° | B1 |
| (3) | |
| (5 marks) |
Notes
M1: for a complete method to find \(y\)