Geometry & MeasuresStudy Notes

Worked Example 2: Parallelogram Angles

Part of Properties of QuadrilateralsGCSE Mathematics

This study notes covers Worked Example 2: Parallelogram Angles 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 5 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 5 of 9

Practice

11 questions

Recall

3 flashcards

Worked Example 2: Parallelogram Angles

In a parallelogram, one angle is 65°. Find all other angles.

Step 1 Find the opposite angle

Opposite angles in a parallelogram are equal

Opposite angle = 65°

Step 2 Find the adjacent angles

Adjacent angles are co-interior (add to 180°)

Adjacent angle = 180° − 65° = 115°

All four angles: 65°, 115°, 65°, 115°

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.

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

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

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