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Topic: Angles (Foundation - Unit 3)

Specification References: G1.3 G1.3 Calculate and use the sums of the interior and exterior angles of polygons.

Candidates should be able to:

• calculate and use the sums of interior angles of polygons
• recognise and name regular polygons; pentagons, hexagons, octagons and decagons
• use the angle sum of irregular polygons
• calculate and use the angles of regular polygons
• use the sum of the interior angles of an n-sided polygon
• use the sum of the exterior angles of any polygon is 360^o
• use interior angle + exterior angle = 180^o
• use tessellations of regular and irregular shapes
• explain why some shapes tessellate and why other shapes do not tessellate

Notes

Questions involving tessellations will be clearly defined and could relate to real-life situations, for example tiling patterns.
Candidates should know how to work out the angle sum of polygons up to a hexagon.
It will not be assumed that candidates know the names heptagon or nonagon.

Examples

1. In an isosceles triangle one of the angles is 64°. Work out the size of the largest possible third angle.

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