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Paper 2

Angles & Shapes

Foundation
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Alternate angles on parallel lines

Parallel line angle facts are fast marks.

Key Facts

  • Interior angles of polygon = (n-2) × 180°.
  • Exterior angles sum to 360°.

Topics Covered

Angle Facts

What you need to know

  • Triangle angles sum to 180°.
  • Angles on a straight line sum to 180°.

Exam Tips

  • Mark known angles on the diagram first.

Polygons

What you need to know

  • Interior sum = (n-2) × 180°.
  • Regular polygon angles are equal.

Exam Tips

  • Use interior sum then divide by n.

Key Terms

Alternate angles

Equal angles formed by a transversal across parallel lines.

Regular polygon

All sides and angles are equal.

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Common Exam Questions

Find the interior angle of a regular octagon.

2 marksmediumPaper 2

Model Answer

135°

What examiners want to see

  • Use (n-2)×180 then divide by n.

Angles around a point sum to?

1 markeasyPaper 2

Model Answer

360°

What examiners want to see

  • Recall the fact quickly.

Related Topics

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