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.
Slide deck
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.
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.
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.
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).
Video
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Worksheet
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°
