📐 Angle Rules
Learn the big angle rules — angles on a straight line add to 180°, angles around a point add to 360° — and use them to find missing angles.
What you’ll learn
- Angles on a LineLearn that angles on a straight line add to 180° and use it to find a missing angle.A straight line is a half turn, worth 180 degrees. When angles sit next to each other on a straight line, they always add up to 180°. So if you know one angle, subtract it from 180 to find the other. A right angle is 90°, and two right angles together make a straight line.
- Angles Around a PointLearn that angles around a point add to 360° and connect turns to degrees.Going all the way around a point is a full turn of 360 degrees, so angles that meet at a point add up to 360°. Turns link to degrees: a quarter turn is 90°, a half turn is 180°, three-quarters is 270°, and a full turn is 360°. Sorting angle sets shows which make a line and which make a full turn.
- Finding Missing AnglesFind a missing angle by choosing the right total and subtracting the known angles.To find a missing angle, first spot the rule: 180° on a line, 360° around a point, or 90° in a right angle. Add up the angles you already know, then subtract from the total to find the missing one. Always check by adding every angle back to the total.
Questions this course answers
Angles that sit together on a straight line add up to…
A straight line is a half turn, so angles on it always total 180 degrees.
Two angles are on a straight line. One is 110°. What is the other?
They must total 180°, so the missing angle is 180 − 110 = 70 degrees.
Two right angles placed together make…
90° + 90° = 180°, which is a straight line.
Angles that meet all the way around a point add up to…
Going all the way around a point is a full turn, which is 360 degrees.
How many degrees is a quarter turn?
A full turn is 360°, so a quarter of that is 90 degrees — a right angle.
Three angles meet around a point and are each 120°. What do they total?
120 + 120 + 120 = 360°, exactly a full turn around a point.
Grounded in trusted sources
- Khan Academy Kids
- BBC Bitesize — KS2 Maths
- NRICH — University of Cambridge
- Britannica Kids
Every Wunder lesson is built from real, reputable sources — never invented.
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