Q1 A quadrilateral has angles of 95°, 78°, and 83°. Find the fourth angle.
95 + 78 + 83 + x = 360°
256 + x = 360°
x = 104°
Q2 In a parallelogram, one angle is 55°. What is the adjacent angle?
Adjacent angles sum to 180° (co-interior)
Adjacent = 180° − 55° = 125°
Q3 A kite has angles of 60°, 84°, and 108°. Find the fourth angle.
60 + 84 + 108 + x = 360°
252 + x = 360°
x = 108°
Q4 In a rhombus, one angle is 110°. Find the other angles.
Opposite angles equal: 110°, ?, 110°, ?
Adjacent angles sum to 180°
Other angles = 180° − 110° = 70°
All angles: 110°, 70°, 110°, 70°
This study notes covers Practice Questions 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 8 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?
State THREE properties of a rhombus, at least one of which relates to its diagonals.