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Angles

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  • Angles are formed when two rays meet. If there are two straight lines such that they have a common end point, then the amount of curl between these two lines is known as 'angle'.
  • There are angles in most shapes and in many of the objects you see and use on a daily basis.
  • Angles are measured in degrees.
  • There are four types of angles:
  • Acute angle
  • Obtuse angle
  • Right angle
  • Straight angle

Right angle

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  • When two straight lines are perpendicular to each other or make 90° with each other, then they are said to be at right angles.
  • A right angle is exactly 90°.
  • Right angles are often shown with a box in the corner.
  • Squares and rectangles are formed using right angles.
  • Some real life examples of Right angles are :-

Acute angle

When two straight lines make an angle with each other such that it is greater than 0° and less than 90°, then these lines are said to be making an acute angle with each other.

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  • Acute angles are less than 90°.
  • Some triangles have acute angles.
  • Here are few examples: The slice of pizza that you eat for lunch is an acute angle.
  • You get a new box of pencils for school. After you sharpen all of the pencils you notice that the tips are acute angles.

Obtuse angle

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  • When two straight lines make an angle with each other such that it is greater than 90° and less than 180°, then these lines are said to be making an obtuse angle with each other.
  • Obtuse angles are more than 90° but less than 180°.
  • Many shapes such as pentagons, octagons and triangles have obtuse angles.
  • Lets see some examples of obtuse angles.

Straight angle

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  • When two line segments point exactly in the opposite direction and form a single straight line, then the angle they form is 180° or straight angle.
Summary
  • Angles are formed when two rays meet.
  • If there are two straight rays such that they have a common end point, then the amount of curl between these two lines is known as 'angle'.
  • There are four types of angles:
    • Acute angle
    • Obtuse angle
    • Right angle
    • Straight angle
  • When two straight lines are perpendicular to each other or make 90° with each other, then they are said to be at right angles.
  • When two straight lines make an angle with each other such that it is greater than 0° and less than 90°, then these lines are said to be making an acute angle with each other.
  • When two straight lines make an angle with each other such that it is greater than 90° and less than 180°, then these lines are said to be making an obtuse angle with each other.
  • When two line segments point exactly in the opposite direction and form a single straight line, then the angle they form is 180° or straight angle.

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