Worked Example 2: Parallelogram Angles

Part of Properties of Quadrilaterals · Section 5 of 10

Study NotesUnit: Geometry & MeasuresGCSE

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°

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

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

Worked Example 1: Missing Angle

Worked Example 3: Kite Angles

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