Interior angles in a triangle

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Presentation transcript:

Interior angles in a triangle

Interior angles in quadrilaterals

Interior angles in polygons Teacher notes Emphasize that n is the number of sides/vertices of the polygon. Ask pupils to practice splitting various polygons into triangles. Ask why the rule always works.

Interior angles in regular polygons A regular polygon has equal sides and equal angles. The size of the interior angles in a regular polygon can be calculated as follows: Name of regular polygon Sum of the interior angles Size of each interior angle Equilateral triangle 180° 180° ÷ 3 = 60° Square 2 × 180° = 360° 360° ÷ 4 = 90° Teacher notes Ask pupils to complete the table for regular polygons with up to 10 sides. Regular pentagon 3 × 180° = 540° 540° ÷ 5 = 108° Regular hexagon 4 × 180° = 720° 720° ÷ 6 = 120°

Interior angles in regular polygons