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📐 Types of Angles

Master acute, obtuse, right, and reflex angles. Learn to identify, measure, and understand the different types of angles and their properties.

Foundation Level
20-25 minutes
Essential Skill

What are Angles?

Angles are the space between two lines! 📐

An angle is formed when two lines meet at a point. The size of an angle is measured in degrees and tells us how much one line has turned from the other. Different types of angles have different properties and uses in geometry.

Acute
Less than 90°

Sharp angles that are smaller than a right angle. Examples: 30°, 45°, 60°.

Right
Exactly 90°

Perfect square corner. Forms an L-shape. The most important angle in geometry.

Obtuse
90° to 180°

Wide angles that are larger than a right angle. Examples: 120°, 150°, 170°.

Reflex
180° to 360°

Very large angles that go beyond a straight line. Examples: 200°, 270°, 320°.

Key Concepts

Angle Measurement

Angles are measured in degrees using a protractor. Learn to read and measure angles accurately.

Visual Recognition

Learn to identify angle types by looking at them. Practice estimating angles without measuring.

Angle Relationships

Understand how different angles relate to each other. Learn about complementary and supplementary angles.

Examples

Example 1: Acute Angles

Characteristics

Size: Less than 90°
Appearance: Sharp and narrow
Examples: 30°, 45°, 60°
Common in: Triangles, corners
Think: "Sharp and small"

Real Examples

• Clock hands at 1:00 (30°)
• Corner of a triangle
• Sloped roof angle
• Sharp knife edge

Example 2: Right Angles

Characteristics

Size: Exactly 90°
Appearance: Perfect L-shape
Symbol: Small square
Importance: Foundation angle
Think: "Perfect corner"

Real Examples

• Corner of a square
• Clock hands at 3:00
• Building corners
• Book corners

Example 3: Obtuse and Reflex

Obtuse Angles

Size: 90° to 180°
Appearance: Wide and open
Examples: 120°, 150°
Reflex Angles
Size: 180° to 360°
Examples: 200°, 270°

Real Examples

• Obtuse: Open book angle
• Obtuse: Wide V-shape
• Reflex: The outside angle between clock hands at 7:00 (210°)
• Reflex: Full turn minus small angle

Interactive Activities

Activity 1: Angle Identifier

Practice identifying different types of angles by sight.

Activity 2: Angle Measurer

Use virtual protractors to measure and classify angles.

Activity 3: Angle Creator

Create different types of angles and explore their properties.

Practice Questions

Practise this with a free account

4 practice questions on this topic, from easy to 11+ level. Reading the guide is free for everyone; practice is for members, and signing up is free.

Study Tips

💡 Learning Strategies

  • • Use a protractor to measure angles
  • • Practice estimating angles by sight
  • • Look for right angles in everyday objects
  • • Compare angles to 90° (right angle)
  • • Use clock hands as examples

🚀 Exam Preparation

  • • Know the angle ranges by heart
  • • Practice measuring quickly
  • • Understand angle relationships
  • • Use visual estimation
  • • Check your measurements