Understanding that angles around a point add up to 360° and using this to find missing angles.
Where your child meets this in real life: Understanding pie charts, clock angles, or compass bearings
SEAGReady breaks angles at a point into 3 steps, taught in order so each skill builds on the last.
Find a missing angle when two angles meet at a point
Find a missing angle when three or more angles meet at a point
Find unknown angles when some angles at a point are equal
Three free sample questions from our angles at a point course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Aoife is looking at a pie chart showing favourite sports. The 'football' section takes up 130° of the circle. What angle is left for all the other sports?
Answer: A. 230°
Angles around a point sum to 360° (a full turn). 360° - 130° = 230° The other sports take up 230° of the pie chart.
Stuck? Start here: How many degrees are there in a full turn around a point?
Three paths meet at a point in a park. The angles between them are 90°, 120°, and an unknown angle. What is the missing angle?
Answer: A. 150°
Step 1: Add the known angles. 90° + 120° = 210° Step 2: Subtract from 360°. 360° - 210° = 150° The missing angle is 150°.
Stuck? Start here: First, add the two known angles: 90° + 120° = ?
Sophie is making a spinner with three equal sections and one section of 90°. What angle should each of the three equal sections be?
Answer: A. 90°
Step 1: Find the remaining angle. 360° - 90° = 270° Step 2: Divide equally among 3 sections. 270° ÷ 3 = 90° Each equal section is 90°.
Stuck? Start here: First find how much is left after the 90° section: 360° - 90° = ?
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Ciara is looking at a pie chart showing how pupils travel to school. The 'walk' section takes up 145° of the circle.
What angle is left for all the other ways of travelling?
360° − 145°
Step 1 of 3
Ciara is looking at a pie chart showing how pupils travel to school. The 'walk' section takes up 145° of the circle.
What angle is left for all the other ways of travelling?
The other ways of travelling take up 215° of the pie chart.
The key insight: A full turn around any point is always 360° - like going all the way around a clock!
Watch out: 180° − 145° = 35°. That's the rule for a straight line (180°), not angles around a point (360°).
These are the misconceptions we see most often in angles at a point, including the ones our practice questions are specifically designed to catch.
Struggling with angles at a point? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.