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Geometry & MeasuresStudy Notes

Worked Example 1: Missing Angle

Part of Properties of Quadrilaterals — GCSE Mathematics

This study notes covers Worked Example 1: Missing Angle within Properties of Quadrilaterals for GCSE Mathematics. Revise Properties of Quadrilaterals in Geometry & Measures for GCSE Mathematics with 11 exam-style questions and 3 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 4 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 9

Practice

11 questions

Recall

3 flashcards

Worked Example 1: Missing Angle

A quadrilateral has angles of 85°, 110°, and 72°. Find the fourth angle.

Step 1 Use the angle sum

Angles in a quadrilateral = 360°

85° + 110° + 72° + x = 360°

Step 2 Solve

267° + x = 360°

x = 360° − 267° = 93°

Keep building this topic

Read this section alongside the surrounding pages in Properties of Quadrilaterals. That gives you the full topic sequence instead of a single isolated revision point.

Key Angle PropertiesWorked Example 2: Parallelogram AnglesThe 360° FamilyThe Quadrilateral Family

Practice Questions for Properties of Quadrilaterals

Which of the following is a property of a parallelogram?

  • A. All four sides are equal
  • B. All four angles are 90°
  • C. Opposite sides are equal and parallel
  • D. Diagonals are equal in length
1 markfoundation

State THREE properties of a rhombus, at least one of which relates to its diagonals.

2 marksfoundation

Quick Recall Flashcards

Parallelogram
Opposite sides parallel and equal
Rhombus
All sides equal, opposite angles equal

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Key Angle Properties

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Worked Example 2: Parallelogram Angles