Foundation June 2022 Paper 2 Q11

EdexcelCurrent spec3 marksAngles (Including Parallel Lines)

11 The diagram shows a triangle \(ABC\).

Triangle ABC with angle A = 116 degrees and angle B = 25 degrees; BC is extended to E and AC is extended to D; angle x is angle DCE

\(ACD\) and \(BCE\) are straight lines.

Work out the size of the angle marked \(x\).
Give a reason for each stage of your working. (3)

Mark scheme

Answer	Mark	Mark scheme
39 with reasoning	M1	for a method to find angle \(ACB\) eg \(180 - 116 - 25\)
	A1	for 39
	C1	for \(x = 39\) with reasoning eg Angles in a triangle add up to 180 and Vertically opposite angles are equal or Vertically opposite angles are equal or Angles on a straight line add up to 180 OR The exterior angle of a triangle is equal to the sum of the interior opposite angles and Angles on a straight line add up to 180

Additional guidance

\(ACB = 39\) or \(x = 39\) or \(C = 39\) or just 39 is acceptable for this accuracy mark

Angle may be shown on diagram if no ambiguity or contradiction
The key words underlined must be present.
There should be no incorrect reasons given.
All reasons given should be used, not just a list of angle facts.