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Shown below is an interior angle from a regular polygon. Calculate the number of sides the polygon has. ......................... (2) 20. The diagram shows parts of two regular polygons A and B. A has 10 sides and exterior angle 3x. B has exterior angle 2x. Work out the number of sides regular polygon B has.
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Calculate the size of each interior angle. Question 5:...
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interior and exterior angles of polygons. Key Words • interior angle p. 181 • exterior angle p. 181 The definitions for interior angles and exterior angles can be extended to include angles formed in any polygon. In the diagrams shown below, interior angles are red, and exterior angles are blue. exterior angles interior angles 8.2 Angles in ...
1 Work out the size of an exterior angle of a regular hexagon. (Total for question 3 is 2 marks) 3 Work out the size of each interior angle in a regular pentagon
Each exterior angle of a regular polygon is 30°. Work out the number of sides of the polygon. ..... (2 marks) 2. Work out the size of an exterior angle of a regular pentagon. .....° (2 marks) 3. Calculate the size of the exterior angle of a regular hexagon. .....° (2 marks) Diagram accurately drawn NOT Diagram accurately drawn NOT
interior angle The sum of the exterior angles of a polygon is always 360°. In a regular polygon, to find an exterior angle, you can divide 360° by the number of sides (360 n). An interior angle and its corresponding exterior angle add up to 180°. The formula for the sum of the interior angles in a polygon is: (n – 2) × 180° (where n is ...
Calculate the size of each interior angle. Question 5: Explain why this cannot be an interior angle from regular polygons. Question 6: A polygon has an interior angle that is Vive times larger than the exterior angle.
measures of the interior angles of a convex n-gon is 2 180n . 5) A corollary to the Interior Angle Sum Theorem is n 2 180 n . What can it be used to find? 6) What does the Exterior Angle Sum Theorem state about the exterior angles of a convex polygon? 7) How can you find the measure of each exterior angle if the polygon is a regular polygon?