Understanding Acute Angles | Definition, Examples, and Characteristics in Geometry

acute angle

An acute angle is a type of angle in geometry that measures less than 90 degrees

An acute angle is a type of angle in geometry that measures less than 90 degrees. It is smaller than a right angle (90 degrees) and an obtuse angle (measuring between 90 and 180 degrees). In simpler terms, an acute angle is a sharp angle that is less than a right angle but greater than a straight angle (180 degrees).

Acute angles are commonly encountered in various geometric shapes and activities. For example, the angles formed by the corners of a square or a rectangle are acute angles. Similarly, the angles in a right-angled triangle, excluding the right angle itself, are acute angles.

To visualize an acute angle, imagine a clock where 12 o’clock is at the top and 3 o’clock is on the right side. The angle between the hour hand and the minute hand just before 3 o’clock would be an acute angle.

In terms of measurement, an acute angle is always greater than 0 degrees and less than 90 degrees. Some examples of acute angles include 30 degrees, 45 degrees, and 60 degrees. However, any angle that falls within this range is considered an acute angle.

It’s important to note that the term “acute” comes from the Latin word “acutus,” which means “sharp.” This definition emphasizes the sharpness of the angle, resembling a sharp point rather than a wide or rounded shape.

In summary, an acute angle is a type of geometric angle that measures less than 90 degrees. It is a sharp angle that falls between 0 and 90 degrees, excluding both 0 and 90 degrees.

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