AQA•GCSE•Mathematics•Geometry & Measures
Angles in triangles
AQA GCSE Mathematics practice questions with step-by-step solutions
Start Practicing Now
Generate unlimited Angles in triangles questions. Choose your difficulty level, get instant feedback, and master this topic.
Unlimited questionsDetailed solutionsAQA exam style
Sample Questions
Try before you startPreview AQA GCSE style questions on Angles in triangles. Click "Show Solution" to see the step-by-step answer.
EasyQuestion 1
[2 marks]Find the missing angle in each triangle:
(a) A triangle with angles 65° and 48°
(b) A right-angled triangle with one angle of 37°
Solution for Question 1
MediumQuestion 2
[3 marks]In an isosceles triangle ABC, AB = AC.
Angle BAC = 52°
(a) Find angle ABC.
(b) Find angle ACB.
Solution for Question 2
HardQuestion 3
[4 marks]In triangle PQR, angle P = 2x, angle Q = 3x + 10, and angle R = x + 20.
(a) Form an equation in x.
(b) Solve your equation to find x.
(c) Find the size of each angle in the triangle.
(d) What type of triangle is PQR?
Solution for Question 3
Want more questions like these?
Generate Unlimited QuestionsAbout Angles in triangles in AQA GCSE
Understanding angles in triangles is essential for GCSE Mathematics. The key fact is that the interior angles of any triangle always add up to 180°.
**The Key Fact:**
Angle sum of a triangle = 180°
This is true for ALL triangles: scalene, isosceles, equilateral, and right-angled.
**Types of Triangles by Angle:**
- Acute-angled: all angles less than 90°
- Right-angled: one angle exactly 90°
- Obtuse-angled: one angle greater than 90°
**Special Triangles:**
- Equilateral: all angles are 60°
- Isosceles: two equal angles (base angles)
- Right-angled: one 90° angle, other two add to 90°
**Finding Missing Angles:**
1. Identify any known angles
2. Use properties of special triangles if applicable
3. Set up an equation using: angle₁ + angle₂ + angle₃ = 180°
4. Solve for the unknown
**Exterior Angles:**
The exterior angle of a triangle equals the sum of the two interior opposite angles.
**Exam Tips:**
- Always check your angles add up to 180°
- Look for isosceles triangles - they have two equal angles
- Mark equal angles with the same symbol
- Remember exterior angle = sum of opposite interior angles
What you'll practice
Exam-style questions matching the AQA specification, from basic to challenging
How it works
AI generates unique questions each time, with full worked solutions and mark schemes