Foundation January 2019 Paper 1R Q21
21 The diagram shows the triangle \(PQR\).
Diagram NOT accurately drawn
In the diagram, all the angles are in degrees.
\(RP = RQ\)
Find the value of \(y\).
Show clear algebraic working.
(4)
| Scheme | Marks |
|---|---|
| \(3x + 10 = x + 52\) | M1 |
| \(3x - x = 52 - 10\) or \(2x = 42\) or \(x = 21\) | M1 |
| \(y = 180 - 2 \times (\text{``}{21}\text{''} + 52)\) or \(y = 180 - 2 \times (3 \times \text{``}{21}\text{''} + 10)\) or \(y = 180 - (\text{``}{21}\text{''} + 52) - (3 \times \text{``}{21}\text{''} + 10)\) | M1 |
| 34 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for equating the expressions for angle \(P\) and angle \(Q\)
M1: for isolating the terms in \(x\)
M1: for a complete method
A1: dep on M2