Foundation November 2019 Paper 3 Q14
14
(a) Three lines meet at a point.

Not to scale
Work out the size of angle \(a\). [2]
(b) XY and CW are parallel lines.
AB = CB.
Angle CAX = 130°.
AB = CB.
Angle CAX = 130°.

Not to scale
(i) Complete this sentence.
Angle CAB = 50° because .................. [1]
(ii) Work out angle BCW.
Give a reason for each angle you work out. [4]
Give a reason for each angle you work out. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 157 | 2 | M1 for 103 + 100 soi 203 | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) Angles [on a straight] line add to 180° or 180 – 130 [= 50] oe | 1 | Key words “Angle[s]”, “line” and “180” must be seen If reason and calculation seen, mark the best | |
| (ii) 80 final answer | 2 | 80 may be seen on diagram Allow one letter for angle when usage makes clear e.g. B = 80 isosceles | |
| ACB = 50 isosceles [triangle] | 1 | Reasons must be geometric e.g. angles on a straight line add to (allow =) 180 or Isosceles triangle Do not accept AB = BC for isosceles | |
| One from ABC = 80 angles in a triangle = 180 CBY = 100 angles on a straight line = 180 or exterior angle ACW = 130 alternate angles [are equal] | 1 | Do not accept e.g. Z angles for alternate Do not accept drawings as a reason | |