4MA0 Foundation June 2017 Paper 1 Q9

EdexcelFoundationOld spec6 marksAngles (Including Parallel Lines)Circles & Sectors

9 \(A\), \(B\) and \(C\) are points on a circle, centre \(O\).

Circle centre O with diameter AC and chord AB; angle x at A between AB and AC
(a)
(i) Write down the mathematical name for the line \(OC\).
(ii) Measure the size of the angle marked \(x\).
(2)

In the diagram, \(ABCD\) is a quadrilateral.

Quadrilateral ABCD with DA parallel to CB; line EFCG crosses AD at F, with angle 150° at F and angles y and w marked

Diagram NOT accurately drawn

\(DA\) and \(CB\) are parallel lines.
\(AFD\) and \(EFCG\) are straight lines.

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