Angles in polygons (Edexcel GCSE Maths): Flashcards

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Angles in polygons
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Practise the cards

12 cards from this deck

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Interior angles

Angles inside a polygon

Exterior angles

Angles formed when extending a side outward

Interior + exterior angle at same vertex

180°180° (they form a straight line)

Sum of interior angles (nn sides)

180°×(n2)180° \times (n - 2)

Sum of exterior angles of any polygon

360°360° (always)

Regular polygon

All sides equal length, all angles equal size

Each exterior angle (regular nn-sided polygon)

360°n\frac{360°}{n}

Each interior angle using exterior angle

180°exterior angle180° - \text{exterior angle}

Regular pentagon exterior angle

72°72°

Regular hexagon exterior angle

60°60°

Regular octagon exterior angle

45°45°

Find nn sides from exterior angle (regular polygon)

n=360°exterior anglen = \frac{360°}{\text{exterior angle}}

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