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Interior Angles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Interior angle of a polygon
An angle formed inside a polygon at the intersection of two adjacent sides.
Sum of interior angles formula
(n - 2) × 180°, where n is the number of sides of the polygon.
Interior angle of a regular polygon
(n - 2) × 180° ÷ n, where n is the number of sides.
Interior angle of a triangle
The sum of the interior angles of a triangle is always 180°.
Interior angle of a quadrilateral
The sum of the interior angles of a quadrilateral is always 360°.
Relationship between interior and exterior angles
Interior angle + Exterior angle = 180° for any polygon.
Interior angle of a regular hexagon
The interior angle of a regular hexagon is 120°.
Interior angle of a regular pentagon
The interior angle of a regular pentagon is 108°.
Finding the number of sides from an interior angle
Use the formula: n = 360 ÷ (180° - interior angle).
Angles in a regular polygon
All interior angles are equal in a regular polygon.

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