Maths — Foundation, Unit 2

Angles in Polygons (Edexcel IGCSE Maths): Exam Questions

2 questions · 8 marks · ≈ 8 min

Guided practice

15 markshard

The diagram shows two congruent regular pentagons drawn inside a regular octagon.

Octagon with two inner pentagons sharing vertex C. Angles A, B marked. Text on right: "Diagram NOT accurately drawn".

One side of each pentagon lies along a side of the octagon.

$AB$ is a side of the octagon. $AC$ is a side of one of the pentagons. $BC$ is a side of the other pentagon.

Work out the size of angle $y$ . Show your working clearly

Your answer

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23 markshard

Here is a 9-sided regular polygon $ABCDEFGHJ$ , with centre $O$

Irregular polygon JABCDEFG with an interior triangle DEK and angle x° shown. Text indicates the diagram is not accurately drawn.

$ODK$ and $FEK$ are straight lines.

Work out the value of $x$

Your answer

How did you do?/ 3