Foundation January 2021 Paper 1 Q9

9 The diagram shows quadrilateral \(ABCD\) and isosceles triangle \(ADE\), where \(AE = AD\).

\(EDC\) is a straight line.

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

(4)

Mark scheme

Scheme	Marks
360 – (59 + 115 + 68) (= 118)	M1
\(x = 62\)	A1
Angles in a quadrilateral add up to 360. Accept “4-sided shape” Angles on a straight line add to 180° Base angles in an isosceles triangle (are equal)	B2
	(4)
	(4 marks)

M1: angle values may be seen on diagram throughout

A1: from correct working

B2: (dep on M1) for all correct reasons for their method
(B1 (dep on M1) for 1 correct reason for their method)