Free Angles & parallel lines questions for IGCSE Mathematics (0580), part of Geometry. Each question has the answer and the marking points an examiner would look for.
Generate a full Angles & Parallel Lines worksheet →All Geometry questionsThe bearing of B from A is 073°. Find the bearing of A from B.
From B, a ship sails on a bearing of 133° to C. Find the size of angle ABC.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 253° 253 B1 | 1 |
| (b) | 120° back bearing 253 and 133 used M1 120 A1 | 2 |
The diagram shows two parallel lines crossed by a straight line.
Find the value of y and the value of z. Give a geometrical reason for each answer.
| Part | Answer and marking points | Marks |
|---|---|---|
| y = 51, z = 129 y = 51 B1 Corresponding angles are equal B1 z = 129 B1 Angles on a straight line add up to 180° B1 | 4 |
The bearing of B from A is 156°. Find the bearing of A from B.
Each interior angle of a regular polygon is 156°. Find the number of sides.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 336° 336° B1 | 1 |
| (b) | 15 exterior angle 24° M1 15 A1 | 2 |
Two parallel lines are crossed by a transversal. One angle is (3x + 12)° and the corresponding angle on the other line is (5x − 14)°. Find x and the size of the angle.
| Part | Answer and marking points | Marks |
|---|---|---|
| x = 13; 51° equate the angles (corresponding angles are equal) M1 x = 13 A1 51° A1 | 3 |
The bearing of B from A is 083°. Find the bearing of A from B.
From B, a ship sails on a bearing of 213° to C. Find the size of angle ABC.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 263° 263 B1 | 1 |
| (b) | 50° back bearing 263 and 213 used M1 50 A1 | 2 |
The bearing of B from A is 091°. Find the bearing of A from B.
Each interior angle of a regular polygon is 156°. Find the number of sides.
| Part | Answer and marking points | Marks |
|---|---|---|
| (a) | 271° 271° B1 | 1 |
| (b) | 15 exterior angle 24° M1 15 A1 | 2 |
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Meet Riyaz →Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in