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.
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°
Practice questions for Properties of Quadrilaterals
Which of the following is a property of a parallelogram?
State THREE properties of a rhombus, at least one of which relates to its diagonals.