Angles in Polygons: Eduqas GCSE Higher June 2023 Paper 1 Q5

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Higher June 2023 Paper 1 Q5

Diagram not drawn to scale

The diagram shows a quadrilateral.

Use algebra to find the size of the exterior angle \(y\). [5]

Mark scheme

Scheme	Marks	Comments
\((x =)\ \dfrac{360-290}{2}\) oe	M2	Check diagram M1 for \(x + 75 + x + 70 + 85 + 60 = 360\) oe May be in stages e.g. 60 + 85 = 145, 360 – 145 = 215, \(2x\) + 145 = 215
\(x = 35\)	A1	Implied by 105 on the diagram.
\(y = 180 - (35 + 70)\) or \(x + 70 = 180 - y\)	m1	FT ‘their derived 35’ provided it is less than 110 and M2 previously awarded.
\(y = 75\)	A1	FT
	(5)