4MA0 Foundation June 2012 Paper 1 Q10

EdexcelFoundationOld spec4 marksAngles (Including Parallel Lines)Angles in Polygons

10

Quadrilateral PQRS with angle S 82°, angle P 119°, angle Q 81°; angle x at R inside the quadrilateral and angle y between RQ and the line RT, which is parallel to PQ

Diagram NOT accurately drawn

The diagram shows a quadrilateral \(PQRS\) and a straight line \(RT\).
\(PQ\) is parallel to \(RT\).

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