Angles in Polygons (Edexcel IGCSE Maths A (Modular): Foundation Unit 2): Exam Questions

Exam code: 4XMAF/4XMAH

8 mins2 questions
1
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5 marks

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.

A B is a side of the octagon.
A C is a side of one of the pentagons.
B C is a side of the other pentagon.

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

2
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3 marks

Here is a 9-sided regular polygon A B C D E F G H J, with centre O

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

O D K and F E Kare straight lines.

Work out the value of x