Foundation June 2022 Paper 1R Q10
10

Diagram NOT accurately drawn
In the diagram, \(BCE\) is a right-angled triangle.
\(ABCD\), \(BEF\) and \(GCEH\) are straight lines.
Angle \(BCE = 35^\circ\)
(a)
(i) Find the value of \(x\) (1)
(ii) Give a reason for your answer. (1)
(b)
(i) Work out the value of \(y\) (2)
(ii) Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 35 | B1 |
| (ii) vertically opposite angles are equal or vertically opposite angles are equal | B1 |
| (2) |
Notes
B1: if answer line is blank, check the diagram
| Scheme | Marks |
|---|---|
| (i) (\(BEC\) =) 180 – 90 – 35 (= 55) or (\(BEH\) =) 35 + 90 | M1 |
| 125 | A1 |
| (ii) eg Angles in a triangle add to 180° (allow angles in a triangle add to 180°) Angles in a triangle sum to 180° (allow angles in a triangle sum to 180°) Angles on a straight line add to 180° (allow angles on a straight line add to 180°) The exterior angle of a triangle is equal to the sum of the interior opposite angles | B1 |
| (3) | |
| (5 marks) |
Notes
M1: for a method to find angle \(BEC\) or \(BEH\)
A1: if answer line is blank, check the diagram
B1: (dep on M1) for one correct reason