Foundation November 2019 Paper 2 Q17
17
\(ABC\) is a straight line.
\(AB = BC = BD\).
Angle \(DAB = 64^\circ\)
Work out the size of the angle marked \(x\).
Give a reason for each stage of your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 26 | M1 | for \(ADB = 64\) or \(ABD = 52\) |
| M1 | for complete method, eg \((180 - 64 - 64) \div 2\) oe | |
| A1 | for 26 | |
| C1 | (dep on first M1) for two correct reasons appropriate to their method from base angles of isosceles triangle are equal sum of angles in a triangle = 180 sum of angles on a straight line = 180 the exterior angle of a triangle is equal to the sum of the interior opposite angles |
Additional guidance
May be shown on the diagram
Correct method can be implied from angles on the diagram if no ambiguity or contradiction.
Underlined words need to be shown; reasons need to be linked to their method; any reasons not linked, do not credit. There should be no incorrect reasons given.