Understanding angles is really important in math, especially in Year 7 when you start learning more about shapes and geometry. Angles are measured in degrees, and there are six main types of angles that you should know.

Types of Angles

1. Acute Angle:

   • What It Is: An acute angle is less than $90^\circ$.
   • Example: A $45^\circ$ angle.
   • Fun Fact: About 40% of the angles you'll see in geometry problems are acute.

2. Right Angle:

   • What It Is: A right angle is exactly $90^\circ$.
   • Example: The corner of a square or rectangle.
   • Fun Fact: Right angles help create perpendicular lines and are found in 50% of geometric shapes.

3. Obtuse Angle:

   • What It Is: An obtuse angle is more than $90^\circ$ but less than $180^\circ$.
   • Example: A $120^\circ$ angle.
   • Fun Fact: About 10% of the angles you’ll come across in geometry are obtuse.

4. Straight Angle:

   • What It Is: A straight angle is exactly $180^\circ$.
   • Example: A straight line.
   • Fun Fact: Straight angles are important because they help define linear pairs with acute and obtuse angles.

5. Reflex Angle:

   • What It Is: A reflex angle is more than $180^\circ$ but less than $360^\circ$.
   • Example: A $270^\circ$ angle.
   • Fun Fact: Reflex angles make up about 5% of the angles in complex shapes.

6. Full Angle:

   • What It Is: A full angle is exactly $360^\circ$.
   • Example: A complete turn around a point.
   • Fun Fact: Full angles are rare but are useful for understanding rotations, making up about 3% of angle measurements.

Summary of Angle Types

| Angle Type | Degree Range | Example Angle | Importance | |----------------|-----------------------------|----------------------|-----------------------------| | Acute | $0^\circ$ to $90^\circ$ | $45^\circ$ | ~40% of angles | | Right | $90^\circ$ | $90^\circ$ | 50% in geometric shapes | | Obtuse | $90^\circ$ to $180^\circ$ | $120^\circ$ | ~10% of angles | | Straight | $180^\circ$ | $180^\circ$ | Important for linear pairs | | Reflex | $180^\circ$ to $360^\circ$ | $270^\circ$ | ~5% in complex shapes | | Full | $360^\circ$ | $360^\circ$ | ~3% of angle measurements |

By learning about these types of angles, you'll get better at geometry, which will really help you on your math test. Don't forget to practice finding and measuring these angles to sharpen your skills!