Angles in Quadrilaterals Practice: A Simple Guide for 11+ Maths
19 October 2026
Understanding angles in quadrilaterals
For 11+ maths, knowing how to work with angles in quadrilaterals is a key skill. It helps children solve geometry questions quickly and accurately.
The sum of angles in a quadrilateral
The four interior angles in any quadrilateral always add up to 360 degrees. This rule applies to all four-sided shapes, including rectangles, parallelograms and trapeziums.
Worked example
Suppose a quadrilateral has three known angles: 90°, 85° and 95°. To find the fourth angle, first add the three known angles together.
90 + 85 + 95 = 270 degrees.
Finding the missing angle
Subtract the total of the known angles from 360 degrees to find the missing angle.
360 - 270 = 90 degrees
So, the fourth angle is 90 degrees.
Key insight: Remembering that the interior angles of any quadrilateral always add up to 360 degrees makes it much easier to solve these questions. This fact is fundamental for angles in quadrilaterals practice.
Encouragement to practise
Practising angles in quadrilaterals questions with your child will build their confidence for the 11+ exam. Explore the dedicated practice packs on our site to support their learning.
