Skill: Classify angles

Explanation and Free Practice Resources

An angle is classified by the amount of turn between its two rays, regardless of its orientation or the lengths of its sides. An acute angle measures less than 90°, a right angle measures exactly 90°, and an obtuse angle measures more than 90° but less than 180°; visual representations can be compared with a right-angle benchmark. Classification at this level does not include reflex angles or more advanced angle relationships.

Detailed Explanation: Classify angles

An angle is classified by how wide its turn is, not by which way it points or how long its sides are.

Use a right angle, which measures 90∘90^\circ, as a benchmark:

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

Example

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

  1. Compare 125∘125^\circ with 90∘90^\circ.
  2. Since 125∘125^\circ is greater than 90∘90^\circ, the angle is wider than a right angle.
  3. Since 125∘125^\circ is less than 180∘180^\circ, it is not a straight angle.

Therefore, an angle measuring 125∘125^\circ is obtuse.

Learn by doing: Classify angles

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Angles - Acute, Obtuse, Right or Straight


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