Skill: Identify acute, right, obtuse, and straight angles

Explanation and Free Practice Resources

An angle is classified by the size of its opening, measured in degrees: acute angles are less than 90°, right angles equal 90°, obtuse angles are greater than 90° but less than 180°, and straight angles equal 180°. The classification depends on the rays’ relationship rather than their orientation or length, supporting analysis of polygons and angle relationships.

Detailed Explanation: Identify acute, right, obtuse, and straight angles

To classify an angle, look at its measure in degrees. Compare it with 90∘90^\circ and 180∘180^\circ:

  • Acute: less than 90∘90^\circ
  • Right: exactly 90∘90^\circ
  • Obtuse: greater than 90∘90^\circ but less than 180∘180^\circ
  • Straight: exactly 180∘180^\circ

Example

Classify an angle that measures 125∘125^\circ.

  1. Compare 125∘125^\circ with 90∘90^\circ:
125∘>90∘ 125^\circ > 90^\circ
  1. Compare 125∘125^\circ with 180∘180^\circ:
125∘<180∘ 125^\circ < 180^\circ
  1. Therefore, 125∘125^\circ is greater than 90∘90^\circ but less than 180∘180^\circ.

Answer: The angle is obtuse.

The direction the angle points and the lengths of its rays do not change its classification. Only the size of its opening matters.

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Angles - Acute, Obtuse, Right or Straight


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