Checking and securing understanding of interior angles
I can find the interior angle of any regular polygon or deduce the interior angle of an irregular polygon.
Checking and securing understanding of interior angles
I can find the interior angle of any regular polygon or deduce the interior angle of an irregular polygon.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Any polygon can be split into triangles.
- Using these triangles you can demonstrate the rule for the interior angle sum of a polygon.
- A missing interior angle in any polygon can be found.
- The number of sides in a regular polygon can be determined from the size of the interior angle.
- The sum of the interior angles is the same, regardless of whether the polygon is regular.
Keywords
Polygon - A polygon is a flat (2D), closed figure made up of straight line segments.
Regular - A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Common misconception
The size of an interior angle in a regular shape cannot be found unless the size of the other angles are given.
A regular shape has the property that all of its interior angles are equal in size. This means that the size of each interior angle is very easy to find if, for example, the sum of the interior angles is known.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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