Angles (Including Parallel Lines): Eduqas GCSE Higher November 2020 Paper 2 Q6

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Higher November 2020 Paper 2 Q6

6. \(ABCD\) is a parallelogram.

Diagram not drawn to scale

Work out the value of \(x\) and the value of \(y\). [5]

You must show all your working.

Mark scheme

Scheme	Marks	Comments
\(5x+40=6x+20\)	M1	Allow for \(5\times20+40=6\times20+20\) which may be seen in stages
\(x=20\)	A1
\(5\times20+40+y+35=180\) OR \(6\times20+20+y+35=180\) OR \(5\times20+40+2(y+35)+6\times20+20=360\)	M2	FT ‘their 20’ for possible M2 provided previous M1 awarded May be seen in stages. M1 for a correct equation \(5x+40+y+35=180\) or \(6x+20+y+35=180\) or \(5x+40+y+35+6x+20+y+35=360\)
\(y=5\)	A1	CAO

Scheme	Marks	Comments
Writes two correct equations in \(x\) and \(y\) \(5x+40+y+35=180\) or \(6x+20+y+35=180\) or \(5x+40+y+35+6x+20+y+35=360\)	M2	M1 for each correct equation May be simplified
Method to eliminate variable, e.g. equal coefficients and method to find second variable	m1	Allow one error in one term but not with equal coefficients
Finds the value of the first variable	A1	CAO \(x=20\) OR \(y=5\)
Second variable	A1	FT ‘their first variable’

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