Angles in polygons (Edexcel GCSE Maths): Quizzes

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Angles in polygons
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What are interior angles in a polygon?

Angles inside the polygon

What do interior and exterior angles at the same vertex always add up to?

180°

What is the sum of interior angles in a polygon with nn sides?

180°×(n2)180° \times (n - 2)

What do the exterior angles of any polygon always sum to?

360°

What defines a regular polygon?

All sides & angles equal

For a regular polygon with nn sides, what is each exterior angle?

360°n\frac{360°}{n}

How do you find each interior angle of a regular polygon from its exterior angle?

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

What is each exterior angle of a regular hexagon?

60°

A regular polygon has exterior angles of 40°. How many sides does it have?

9

Why do exterior angles of any polygon sum to 360°?

Walking around = one complete rotation

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