🔢 Mathematics · Geometry

Angle Sum Rules

Know that angles at a point sum to 360° (one whole turn), angles on a straight line sum to 180°, and vertically opposite angles are equal; use these facts to find missing angles

Typical age: 9–10 years

“If three angles meet at a point and two of them are 120° and 95°, can your child work out the third angle — knowing all the angles at a point add up to 360°?”

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Needs first

Types of angles (age 8+)REQUIRED
Angle sum rules (360° at a point, 180° on a line) are applied through reading angle diagrams with correct notation
Degrees and turnsREQUIRED
Angle facts (at a point = 360°) require degree system knowledge

Unlocks next

Measuring angles (age 9+)REQUIRED
Must know angle facts (360°, 180°) to solve unknown angle problems
Line graphs (age 10+)REQUIRED
Constructing pie charts requires knowing angles at a point sum to 360°
Angles in triangles (age 10+)REQUIRED
Finding unknown angles builds on Y5 angle sum facts (180°, 360°)
Fractions, Decimals & Percentages
Angle facts (360°, 180°) are structural tools for finding unknowns
Understanding angles (age 10+)REQUIRED
Point/straight-line/vertically-opposite angle rules build on Y5 angle-sum knowledge
Understanding angles (age 11+)REQUIRED
Builds on KS2 knowledge that angles at a point sum to 360° and on a line to 180°