4MA0 Higher January 2015 Paper 4R Q3
3

Diagram NOT accurately drawn
ABCD is a parallelogram.
Angle \(DCB = 110^\circ\)
X is the point on DC such that AX bisects the angle DAB.
Calculate the size of angle AXC.
(4)
| Scheme | Marks |
|---|---|
| Angle DAB = 110 | B1 |
| Angle BAX = 110 ÷ 2 (= 55) or Angle DAX = 110 ÷ 2 (= 55) or Angle AXD = 55 | M1 |
| Angle AXD = 55 or Angle CBA = 180 – 110 (=70) or Angle ADC = 180 – 110 (=70) | M1 |
| 125 | A1 |
| (4 marks) |
Notes
B1: can be implied by angle \(DAX\) = angle \(BAX = 55^\circ\)