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What is an angle? | Year 3 Mathematics PDF Download

Understanding Angles

  • Angles are everywhere. An angle is formed when two straight lines intersect.
  • Look at the picture below. Two pairs of pencils create angles - can you identify which ones?
    What is an angle? | Year 3 Mathematics
  • If you answered the pair on the left and the pair on the right, you're correct! The middle pair doesn't form an angle because the lines don't meet.
  • The picture below shows a right angle. This type of angle represents a quarter of a full turn.
    What is an angle? | Year 3 Mathematics
  • You can verify if an angle is a right angle by using a set square, as shown in the picture below.
    What is an angle? | Year 3 Mathematics
  • Therefore, three right angles make up three-quarters of a full turn...
    What is an angle? | Year 3 Mathematics
  • And four right angles complete a full circle.
    What is an angle? | Year 3 Mathematics

Types of Angles

An angle represents a measure of rotation and is typically denoted in degrees (°). A full circle comprises 360°. A protractor is a tool used to determine the size of an angle.

Acute Angles

  • Acute angles are those that measure less than 90°.
  • Example: An angle of 30° is considered acute.

Obtuse Angles

  • Obtuse angles fall between 90° and 180°.
  • Example: An angle of 120° is an obtuse angle.

Reflex Angles

  • Reflex angles span greater than 180° but less than 360°.
  • Example: An angle of 270° is a reflex angle.

Right Angles

  • A right angle precisely measures 90°.
  • Example: A corner of a square forms a right angle, measuring 90°.
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FAQs on What is an angle? - Year 3 Mathematics

1. What is an angle?
Ans. An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
2. What are the different types of angles?
Ans. The different types of angles include acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (more than 90 degrees but less than 180 degrees), and straight angles (exactly 180 degrees).
3. How do you measure an angle?
Ans. Angles are measured in degrees using a protractor. The measurement of an angle is usually indicated by the symbol °.
4. What is the sum of angles in a triangle?
Ans. The sum of angles in a triangle is always 180 degrees. This property is known as the angle sum property of a triangle.
5. How can angles be classified based on their measure?
Ans. Angles can be classified as acute, right, obtuse, or straight based on their measure in degrees.
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