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Polygons. Definitions, notes, examples, and practice test (w/solutions) Including concave/convex, exterior/interior angle sums, diagonals, n-gon names, and more...
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
Angles in Polygons. A polygon is a 2D shape which has 3 or more straight sides. In a regular polygon, all the sides are the same length and all the angles are the same size. You must know the names of these regular polygons and how many sides they have.
The diagram shows a regular pentagon, ABCDE, and a square, EDFG. The lines CD and DG are both sides of another regular polgon, P. How many sides does polygon P have?
The diagram below shows part of a regular polygon. (a) Calculate the size of each exterior angle. 23. Work out the sum of the interior angles for a 40 sided polygon. .........................°. (2) 24. The sum of the interior angles in a polygon is 7380°. Calculate the number of sides the polygon has.
Angles in Polygons. 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. interior angles. exterior angles. Activity 8.2 suggests the Polygon Interior Angles Theorem shown below. THEOREM 8.1.
a. Draw a quadrilateral and a pentagon. Find the sum of the measures of the interior angles of each polygon. Sample. b. Draw other polygons and fi nd the sums of the measures of their interior angles. Record your results in the table below. Number of sides, Sum of angle measures, 3 4 5 6 7 8 9.
