# Problem solving with polygons

I can use my knowledge of polygons to solve problems.

# Problem solving with polygons

I can use my knowledge of polygons to solve problems.

## Slide deck

## Lesson details

### Key learning points

- Problems can be solved using parallel line angle facts.
- Problems can be solved using interior and exterior angles of polygons.
- Problems can be solved and the solution justified using angle facts.
- It is possible to write algebraic statements about connected angles.
- Your knowledge of algebraic manipulation may be useful.

### Common misconception

Pupils might not know how to start an angle problem if they focus too much on the final solution.

You can start an angle problem by working out any angle on the diagram. The more angles you work out, the easier the final solution becomes.

### Keywords

Corresponding angles - Corresponding angles are 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 angles - 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 (2023), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

Loading...

## Worksheet

## Starter quiz

### 6 Questions

∠BCD and ∠CEF -

corresponding angles

∠ACE and ∠HEC -

co-interior angles

∠ACE and ∠CEF -

alternate angles

∠HEC and ∠GEF -

vertically opposite angles