Worked example 1: Angles in a kite
A kite has two equal angles of \(110^\circ\) and a third angle of \(62^\circ\). Find the fourth angle.
Solution
- Angles in a quadrilateral add to \(360^\circ\).
- \(360-110-110-62=78^\circ\).
Answer: 78°
Edexcel IGCSE Maths (4MA1) · Unit 5: Geometry
Quadrilaterals and Symmetry questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the worked example first, then try the 3 exam-style questions yourself and check your working against the mark scheme.
A kite has two equal angles of \(110^\circ\) and a third angle of \(62^\circ\). Find the fourth angle.
Answer: 78°
Try each question before you open the answer. The mark schemes use Edexcel-style marks: M for method, A for accuracy (after the method mark), B for an independent result.
Write down the order of rotational symmetry of a regular hexagon.
Answer: 6
ABCD is a kite with AB = AD and CB = CD. Angle BAD = 110° and angle BCD = 50°. Work out the size of angle ABC.
Answer: 100°
A rhombus has sides of length 10 cm. One of its diagonals is 12 cm long. Work out the area of the rhombus.
Answer: 96 cm²
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Either Higher tier paper, 1H or 2H, can test quadrilaterals and symmetry: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
In the IGCSE student hub: Unit 5 (Geometry) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.