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A 45 degree angle is known as an acute angle.

Level 5-6 Shapes - Angles

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.

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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.

Key Terms

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.”

Frequently Asked Questions (Click to see answers)

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°.

Try These Related Quizzes

1 .

The angle in the picture below is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Right angles are exactly 90^o

2 .

What is 'angle A' in the diagram below?

90^o

180^o

210^o

270^o

The angles in a circle add up to 360^o

3 .

The angle in the picture below is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Reflex angles are between 180^o and 360^o

4 .

The angle in the picture below is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Acute angles are less than 90^o

5 .

The angle in the picture below is a(n) .......

acute angle

obtuse angle

reflex angle

right angle

Obtuse angles are between 90^o and 180^o

6 .

What is 'angle A' in the diagram below?

80^o

100^o

120^o

140^o

The angles on a straight line add up to 180^o

7 .

What is 'angle A' in the regular hexagon below?

80^o

120^o

180^o

240^o

Remember that all the angles in a regular hexagon are the same and all the lengths of the sides are the same

8 .

What is 'angle A' in the equilateral triangle below?

50^o

60^o

70^o

80^o

The angles in a triangle add up to 180^o

9 .

What is 'angle A' in the diagram below?

55^o

65^o

75^o

85^o

90^o + 195^o + 75^o = 360^o

10 .

What is 'angle A' in the regular pentagon below?

80^o

88^o

92^o

108^o

All angles in a regular pentagon are the same. (The length of the sides are also the same)

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

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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Level 5-6 Shapes - Angles

Fascinating Fact:

Key Terms

Frequently Asked Questions (Click to see answers)

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