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Maths Quiz - Level 5-6 Shapes - Angles (Questions)

Master KS3 angle facts. Identify acute and obtuse angles, use straight-line and around-a-point rules, and solve missing-angle problems with clear reasoning.

Fascinating Fact:

Crossing roads create vertical opposite angles that are equal; if one angle is 46°, the opposite is also 46°.

In KS3 Maths, angle work focuses on key rules: angles on a straight line add to 180°, around a point to 360°, vertically opposite angles are equal, and angles in a triangle total 180°. You’ll apply these to find unknown angles, including where parallel lines are involved.

  • Acute angle: An angle smaller than 90°.
  • Vertically opposite angles: Equal angles formed when two straight lines cross.
  • Corresponding angles: Equal angles formed when a transversal crosses parallel lines; they sit in matching “corners.”
What are the essential KS3 angle facts I should remember?

Know these: straight line = 180°, around a point = 360°, triangle = 180°, vertically opposite angles are equal, and parallel-line angle pairs can be equal or supplementary.

How do I find a missing angle on a straight line?

Angles on a straight line add to 180°. Subtract the known angle from 180°. For example, if one angle is 112°, the other is 180° − 112° = 68°.

What are alternate and corresponding angles with parallel lines?

With parallel lines, alternate angles (Z-shape) are equal, and corresponding angles (F-shape) are equal. Co-interior angles (C-shape) add to 180°.

1. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[ ] reflex angle
[ ] right angle
2. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[ ] reflex angle
[ ] right angle
3. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[ ] reflex angle
[ ] right angle
4. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[ ] reflex angle
[ ] right angle
5. What is 'angle A' in the diagram below?
[ ] 80o
[ ] 100o
[ ] 120o
[ ] 140o
6. What is 'angle A' in the diagram below?
[ ] 90o
[ ] 180o
[ ] 210o
[ ] 270o
7. What is 'angle A' in the diagram below?
[ ] 55o
[ ] 65o
[ ] 75o
[ ] 85o
8. What is 'angle A' in the equilateral triangle below?
[ ] 50o
[ ] 60o
[ ] 70o
[ ] 80o
9. What is 'angle A' in the regular pentagon below?
[ ] 80o
[ ] 88o
[ ] 92o
[ ] 108o
10. What is 'angle A' in the regular hexagon below?
[ ] 80o
[ ] 120o
[ ] 180o
[ ] 240o

You can find more about this topic by visiting BBC Bitesize - Angles

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Maths Quiz - Level 5-6 Shapes - Angles (Answers)
1. The angle in the picture below is a(n) .......
[x] acute angle
[ ] obtuse angle
[ ] reflex angle
[ ] right angle
Acute angles are less than 90o
2. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[ ] reflex angle
[x] right angle
Right angles are exactly 90o
3. The angle in the picture below is a(n) .......
[ ] acute angle
[x] obtuse angle
[ ] reflex angle
[ ] right angle
Obtuse angles are between 90o and 180o
4. The angle in the picture below is a(n) .......
[ ] acute angle
[ ] obtuse angle
[x] reflex angle
[ ] right angle
Reflex angles are between 180o and 360o
5. What is 'angle A' in the diagram below?
[ ] 80o
[ ] 100o
[x] 120o
[ ] 140o
The angles on a straight line add up to 180o
6. What is 'angle A' in the diagram below?
[ ] 90o
[ ] 180o
[ ] 210o
[x] 270o
The angles in a circle add up to 360o
7. What is 'angle A' in the diagram below?
[ ] 55o
[ ] 65o
[x] 75o
[ ] 85o
90o + 195o + 75o = 360o
8. What is 'angle A' in the equilateral triangle below?
[ ] 50o
[x] 60o
[ ] 70o
[ ] 80o
The angles in a triangle add up to 180o
9. What is 'angle A' in the regular pentagon below?
[ ] 80o
[ ] 88o
[ ] 92o
[x] 108o
All angles in a regular pentagon are the same. (The length of the sides are also the same)
10. What is 'angle A' in the regular hexagon below?
[ ] 80o
[x] 120o
[ ] 180o
[ ] 240o
Remember that all the angles in a regular hexagon are the same and all the lengths of the sides are the same