What is the Difference Between Acute Angle and Obtuse Angle?

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The difference between acute and obtuse angles lies in their measurements:

  • Acute Angle: An acute angle measures less than 90 degrees, specifically between 0 and 90 degrees.
  • Obtuse Angle: An obtuse angle measures more than 90 degrees, specifically between 90 and 180 degrees.

In other words, an acute angle is closer to being straight (0 degrees), while an obtuse angle is closer to being a right angle (90 degrees) or a straight angle (180 degrees). To visualize the difference, imagine two rays (straight line segments) intersecting at a point (the vertex). If the two rays are closer together, you have an acute angle. If the two rays are further apart, you have an obtuse angle.

Comparative Table: Acute Angle vs Obtuse Angle

The main difference between acute and obtuse angles lies in their measurements. Here is a table comparing the two types of angles:

Angle Type Measurement Range Description
Acute Angle 0° to 90° An angle that measures less than 90 degrees
Obtuse Angle 90° to 180° An angle that measures more than 90 degrees but less than 180 degrees

Both acute and obtuse angles are classified as non-right angles, meaning they are not equal to 90 degrees. Acute angles are considered "smaller" than right angles, while obtuse angles are considered "larger" than right angles. In summary:

  • Acute angles measure less than 90 degrees.
  • Obtuse angles measure more than 90 degrees but less than 180 degrees.