Understanding Acute Angles | Definition, Visuals, and Applications in Geometry

acute angle

An acute angle is an angle that measures less than 90 degrees

An acute angle is an angle that measures less than 90 degrees. In other words, it is an angle that is smaller than a right angle.

To visualize an acute angle, imagine a clock face where 12 o’clock represents a right angle of 90 degrees. Any angle between 0 and 90 degrees on the clock would be considered an acute angle. For example, angles like 30 degrees, 45 degrees, and 60 degrees are all acute angles.

In geometry, acute angles are often encountered in various contexts. They can be found in triangles, quadrilaterals, and other polygon shapes. Understanding and working with acute angles is crucial in the study of geometry as they form the foundation for concepts such as congruence, similarity, and trigonometry.

It’s important to note that acute angles are always less than 90 degrees, so they cannot equal or exceed a right angle. If an angle measures exactly 90 degrees, it is classified as a right angle.

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