Higher June 2022 Paper 1 Q4

EdexcelHigherCurrent spec4 marksAngles in Polygons

4 The diagram shows parts of three regular polygons, A, B and C, meeting at a point.

Diagram NOT accurately drawn

Polygon B has \(n\) sides.

Work out the value of \(n\).

(4)

Mark scheme

Scheme	Marks
\(7x + 3x + 8x = 360\) oe	M1
(\(x\) =) 360 ÷ 18 (= 20)	M1
360 ÷ (180 – 7 × “20”) oe or 360 ÷ (180 – “140”) \(\dfrac{(n - 2) \times 180}{n} = 7 \times \text{``}{20}\text{''}\) oe or 360 ÷ 40	M1
9	A1
	(4)
	(4 marks)

M1: for 360 ÷ exterior angle

M2 for \(7x = 140\) (140 can be on diagram)