Understanding Acute Angles: Definition, Examples, and Importance in Geometry and Trigonometry

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 a small angle that is less than a right angle.

To understand this concept better, let’s visualize it with an example. Imagine a line, and you want to measure the angle between this line and another line that intersects it. If the angle between the two lines is less than 90 degrees, then it is an acute angle.

Here are a few examples of acute angles:

– An angle measuring 30 degrees is an acute angle as it is smaller than 90 degrees.
– Similarly, an angle measuring 75 degrees is also an acute angle.
– A right angle measures exactly 90 degrees, so any angle smaller than that is considered acute.

It’s worth noting that acute angles can vary in their sizes. For instance, an angle measuring 20 degrees is smaller than an angle measuring 70 degrees, but both are classified as acute angles since they are less than 90 degrees.

Acute angles are commonly found in many real-world situations. For instance, the angle between the hands of a clock at any given time is typically acute, as it is less than 90 degrees. Understanding acute angles is fundamental in geometry and trigonometry, as they play a crucial role in various calculations and constructions.

To summarize, an acute angle is a small angle measuring less than 90 degrees. It is important to distinguish between acute angles and other types of angles, such as right angles (90 degrees) or obtuse angles (greater than 90 degrees).

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