Angles in Polygons worksheet
4 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
A regular polygon has \(10\) sides.
(a)Work out the size of each exterior angle.
(b)Work out the size of each interior angle.
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4 marks
Here is a regular nonagon.
(a)Find the size of one exterior angle of the nonagon.
(b)Find the size of the angle marked \(x\).
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3 marks
Each interior angle of a regular polygon is \(108^\circ\).
Find the number of sides the polygon has.
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3 marks
A regular polygon has \(40\) sides.
(a)Work out the size of each exterior angle.
(b)Work out the size of each interior angle.
Answers
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(a) \(36^\circ\)
(b) \(144^\circ\) -
(a) \(40^\circ\)
(b) \(140^\circ\) - \(5\ \text{sides}\)
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(a) \(9^\circ\)
(b) \(171^\circ\)