Foundation June 2018 Paper 1 Q8

EdexcelCurrent spec5 marksAngles (Including Parallel Lines)Angles in Polygons

Quadrilateral ABCD with a right angle at B; equilateral triangle ADE with equal sides marked; DCF is a straight line; angle ADC is 135 degrees and angle BCF is 108 degrees; angle EAB is marked

Diagram NOT accurately drawn

\(ABCD\) is a quadrilateral.
\(ADE\) is an equilateral triangle.
\(DCF\) is a straight line.

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

(5)

Mark scheme

Scheme	Marks
(angle \(EAD\) or \(ADE\) or \(AED\) =) 60	B1
(angle \(BCD\) =) 180 – 108 (=72)	M1
(angle \(BAD\) =) 360 – (135 + “72” + 90) (=63) or (angle \(BAD\) =) 360 – 297 (=63) or (angle \(EAB\) =) 123	M1
	B1
123	A1
	(5)
	(5 marks)

Notes

B1: may be seen on diagram

M1: may be seen on diagram

B1: (dep on M1) for at least one correct reason
reason 1 : Angles on straight line add up to 180° or
Angles on straight line add up to 180°

reason 2 : Angles in a quadrilateral (accept 4-sided shape) add up to 360° or
Angles in a quadrilateral (accept 4-sided shape) add up to 360°

A1: for 123 and full reasons