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  1. The names of basic angles are Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle and full rotation. An angle is geometrical shape formed by joining two rays at their end-points. An angle is usually measured in degrees. There are various types of angles in geometry. Angles form the core part of the geometry in mathematics.

    • Acute Angle
    • Right Angle
    • Obtuse Angle
    • Straight Angle
    • Reflex Angle
    • Full Rotation Angle
    • Positive Angles
    • Negative Angles
    • Adjacent Angles
    • Complementary Angles

    Any angle that is less than 90° is an acute angle. If two rays intersect at a vertex, forming an angle that is less than 90°, an acute angle is formed. Some examples of acute angle are 20°,30°,45°,60°. Observe the figure which shows that ∠XYZ is an acute angle.

    If the angle formed between two rays is exactly 90° then it is called a right angleor a 90° angle. Observe the figure which shows that ∠AOB s a right angle or a 90° angle.

    Any angle that is greater than 90° but less than 180° is an obtuse angle. The angle formed by the rays PQ and QR in the figure is an obtuse angle. Some examples of obtuse angles are 110°, 130°, 145°,165°.

    As the name suggests, a straight angleis a straight line, and the angle formed between two rays is exactly equal to 180°. At a straight angle, the two rays are opposite to each other. A straight angle can be formed by combining two adjacent right angles or in other words two right angles make up a straight angle. In the figure, ∠SRT is a 180° angle...

    An angle that is greater than 180° and less than 360° is called a reflex angle. In the figure, ∠ABC is areflex angle. Examples of reflex angles are 210°, 250°, 310°.

    A full rotation angle is formed when one of the arms of the angle goes on a complete rotation or makes a 360°. In the figure, ∠MNR = 360° and is termed as a full rotation angle.

    Positive angles are the ones in which angles are rotated from the base in the counter-clockwise or anti-clockwise direction. In the figure shown below, when side 1(AB) is rotated in the anti-clockwise direction by an angle θ, a positive angle is formed.

    Negative angles are the ones in which angles are rotated from the base in the clockwise direction. In the figure shown below, when side 1 (DE) is rotated in the clockwise direction by an angle θ, a negative angle is formed. A pair of angles denotes two angles. Let us read about the various angle pairs in geometry.

    For two angles to be adjacent angles, the following conditions should be true. 1. Two angles share a common vertex. 2. Two angles share a common arm. 3. There are two arms that are not common.

    When the sum of two angles is equal to 90°, they are called complementary angles. The two angles can be of any measure such that they sum up to 90°. For example, the two angles can be 30° and 60°. Here, one angle is the complement of the other angle.

  2. Dec 28, 2022 · A full rotation angle forms when one ray rotates exactly 360° (a complete circle) from the other. Types of Angles by Rotation. An angle is either a positive angle or a negative angle, depending on this direction the second or terminal arm rotates away from its base. Positive angle: A positive angle moves in a counterclockwise direction from ...

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  4. Aug 3, 2023 · Types of Angles. All angles are commonly classified based on their magnitude or degree of rotation, into six main types: Acute Angle: An angle that measures less than 90° is called an acute angle. In other words, it lies between 0° to 90°. Right Angle: An angle that measures exactly 90° is called a right angle.

    • What are the different types of angle?1
    • What are the different types of angle?2
    • What are the different types of angle?3
    • What are the different types of angle?4
    • What are the different types of angle?5
  5. The angle measurement between the two rays can be denoted using the Greek letter θ, α, β etc. If the angles are measured from a line, we can find two different types of angles, such as a positive angle and a negative angle. Positive Angle: If the angle goes in counterclockwise, then it is called a positive angle.

  6. There are 5 types of angles based on measurement: An acute angle is an angle that lies between 0° and 90°. Examples: 35°, 80°, 72° etc. An obtuse angle is an angle which lies between 90° and 180°. Examples: 135°, 150°, 122°, etc. A right angle is an angle that precisely measures 90 degrees.

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