Worked Example 1: Missing Angle

Part of Properties of Quadrilaterals · Section 4 of 10

Study NotesUnit: Geometry & MeasuresGCSE

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 10 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and 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°

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

Key Angle Properties

Worked Example 2: Parallelogram Angles

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