1MA0 Higher November 2015 Paper 1 Q14

EdexcelHigherOld spec4 marksAngles in Polygons

14

Regular octagon ABCDEFGH with two identical regular pentagons KLQFP and MNREQ inside, meeting at Q; angle x is angle FQE

Diagram NOT accurately drawn

\(ABCDEFGH\) is a regular octagon.
\(KLQFP\) and \(MNREQ\) are two identical regular pentagons.

Work out the size of the angle marked \(x\).

You must show all your working. (4)