Foundation January 2023 Paper 1R Q9

EdexcelFoundationCurrent spec4 marksAngles (Including Parallel Lines)Angles in Polygons

Quadrilateral ABDE with A, B and C on a straight line; angle EAB is 52 degrees, angle AED is 112 degrees, angle EDB is a right angle, BD and CD are marked equal, and angle BDC is x degrees

Diagram NOT accurately drawn

\(BCD\) is an isosceles triangle with \(BD = CD\)
\(ABC\) is a straight line.
\(ABDE\) is a quadrilateral.

Work out the value of \(x\)
Give a reason for each stage of your working.

(4)

Mark scheme

Scheme	Marks
(\(ABD\) =) 360 – 52 – 112 – 90 (= 106)	M1
(\(CBD\) =) 180 – “106” (=74)	M1
32	A1
Reasons given	B1
	(4)
	(4 marks)

Notes

M1: may be marked in correct place on diagram

B1: dep on M1

At least two appropriate reasons given.
“angles in a quadrilateral add to 360°” accept 4-sided shape.

“angles on a straight line add to 180°” or angles on a straight line add to 180°

“angles in a triangle add to 180°” or angles in a triangle sum to 180°

“base angles in an isosceles triangle (are equal)”