Missing angles
I can solve problems that require a combination of angles facts to identify values of missing angles, providing explanations of reasoning and logic used.
Missing angles
I can solve problems that require a combination of angles facts to identify values of missing angles, providing explanations of reasoning and logic used.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Missing angles can be found using parallel lines.
- Missing angles can be found using facts about triangles.
- Missing angles can be found in polygons using knowledge of exterior and interior angles.
- The relationship between interior and exterior angles can be used to find missing angles.
- Missing angles can be found by using a combination of all known facts.
Keywords
Corresponding angles - A pair of angles at different vertices on the same side of a transversal in equivalent positions.
Alternate angles - A pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
Co-interior angles - Co-interior angles are on the same side of the transversal line and in between the two other lines.
Interior angles - An interior angle is an angle formed inside a polygon by two of its edges.
Exterior angle - An exterior angle is an angle on the outside of a polygon between an extension of an edge and its adjacent edge.
Common misconception
Pupils may work out missing angles without writing out their justifications.
Each time a number which is not on the original diagram is used or found, an explanation should be given for where it has come from.
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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Starter quiz
6 Questions
1440°
900°
720°
1260°
1080°
540°
Exit quiz
6 Questions
alternate angles in parallel lines are equal
corresponding angles in parallel lines are equal
vertically opposite angles are equal
adjacent angles on a straight line sum to 180°
co-interior angles in parallel lines sum to sum to 180°