4MA0 Higher June 2013 Paper 3 Q4

EdexcelHigherOld spec5 marksAngles (Including Parallel Lines)Angles in Polygons

4

Hexagon ABCDEF with angles 142° at E, y° at D, 92° at C, 134° at F, 123° at H and 107° at A; G on AF and H on BC with GH parallel to AB; angle x° at G

Diagram NOT accurately drawn

\(ABCDEF\) is a hexagon.
\(G\) is a point on \(AF\).
\(H\) is a point on \(BC\).
\(GH\) is parallel to \(AB\).

(a) Give a reason why \(x = 107\) (1)
(b) Work out the value of \(y\). (4)
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