1MA0 Foundation June 2015 Paper 1 Q18
*18
Diagram NOT accurately drawn
\(ABCD\) is a rectangle.
\(E\) is a point on \(DC\).
Angle \(EBC = 25^\circ\)
Work out the size of the angle marked \(x\).
Give reasons for your answer. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(x = 115^\circ\) with complete reasons | 3 | M1 for angle \(CEB = 180 - 25 - 90\) (= 65) or angle \(ABE = 90 - 25\) (= 65) or for \(x = 25 + 90\) A1 for 115 C1 (dep on M1) for full reasons, appropriate to their given method e.g. angles in a triangle add up to \(180^\circ\) and angles on a straight line add up to \(180^\circ\) e.g. the exterior angle of a triangle is equal to the sum of the interior opposite angles e.g. angles in a quadrilateral add up to \(360^\circ\) e.g. alternate angles are equal |