4400 Higher November 2010 Paper 3 Q3

EdexcelHigherOld spec4 marksAngles (Including Parallel Lines)

Isosceles triangle ABC with BA = BC; line PA parallel to BC; angle x between PA and AB at A; angle ACB = 70 degrees

Diagram NOT accurately drawn

\(ABC\) is an isosceles triangle.
\(BA = BC\).
\(PA\) is parallel to \(BC\).
Angle \(ACB = 70^\circ\).

Find the value of \(x\).
Give a reason for each step in your working.

(4)

Mark scheme

Scheme	Marks
BAC = 70	B1
isosceles triangle	B1
ABC = 40 or PAC = 110 or PA(CA ext) = 70	B1
x = 40	B1
	(4)
	(4 marks)

Notes

B1: (can be marked on diagram)

B1: dep on prev B1. Must not contain incorrect statements.

B1: look for values on diagram

B1: dep on reason. Either alternate (with ABC) or angles between parallel lines (= 180) or alternate (with 110) or corresponding (with 70)
answer only = B1B0B1B0