4MA0 Foundation June 2015 Paper 1R Q9

EdexcelFoundationOld spec5 marksAngles (Including Parallel Lines)

9 \(CDF\) and \(DEF\) are isosceles triangles.
\(CD = DF = EF\).
\(ACDE\) and \(BCF\) are straight lines.

Straight lines ACDE and BCF crossing at C; angle x° between CA and CB, angle 35° between CD and CF; triangles CDF and DEF with CD = DF = EF; angle y° at F in triangle DEF

Diagram NOT accurately drawn

(a)
(i) Find the value of \(x\).
(ii) Give a reason for your answer.
(2)
(b) Calculate the value of \(y\). (3)
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