4MA0 Foundation January 2015 Paper 1 Q12

EdexcelFoundationOld spec5 marksAngles (Including Parallel Lines)

12

AB parallel to EDC; triangle BDC with BD = BC; angle x at D on the E side, angle BDC = 55°, angle y between BA and BD, angle z = DBC

Diagram NOT accurately drawn

\(AB\) and \(EDC\) are parallel lines.
\(BD = BC\)
Angle \(BDC = 55^\circ\)

(a)
(i) Work out the size of angle \(x\).
(ii) Give a reason for your answer.
(2)
(b) Find the size of angle \(y\). (1)
(c) Work out the size of angle \(z\). (2)
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