MA25-02 Maths Coming soon
Angles at a point, on a line and vertically opposite angles
This lesson is coming soon.
In this lesson
Calculate a missing angle using the facts that angles at a point sum to 360 degrees, angles on a straight line sum to 180 degrees, and vertically opposite angles are equal, giving the precise reason each time.
What it covers
- Angles at a point sum to 360 degrees
- Angles on a straight line sum to 180 degrees
- Vertically opposite angles are equal
- Writing the precise reason phrase the mark scheme expects for each of the three facts
- Finding a single missing angle using exactly one of these three facts
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | G3 | Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles |
| Edexcel GCSE 1MA1 | G3 | Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles; understand and use alternate and corresponding angles on parallel lines; derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons) |
| Eduqas GCSE C300 | FG3 | Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles; understand and use alternate and corresponding angles on parallel lines; derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons) |
| Eduqas GCSE C300 | HG3 | Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles; understand and use alternate and corresponding angles on parallel lines; derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons) |
| Edexcel IGCSE 4MA1 | F4.1B | Use angle properties of intersecting lines, parallel lines and angles on a straight line |
| Cambridge IGCSE 0580 | C4.6 | Angles |
| Cambridge IGCSE 0580 | E4.6 | Angles |
| OCR GCSE J560 | 8.03a | Know and use the sum of the angles at a point is 360°. |
| OCR GCSE J560 | 8.03b | Know that the sum of the angles at a point on a line is 180°. |
| OCR GCSE J560 | 8.03c | Know and use: vertically opposite angles are equal; alternate angles on parallel lines are equal; corresponding angles on parallel lines are equal. |
For teachers
This GCSE Maths lesson teaches angles at a point, on a line and vertically opposite angles. By the end, students should be able to calculate a missing angle using the facts that angles at a point sum to 360 degrees, angles on a straight line sum to 180 degrees, and vertically opposite angles are equal, giving the precise reason each time. It works through three worked examples and the mistakes examiners report.