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

Acute Angle

An acute angle is a type of angle that measures between 0 degrees and 90 degrees

An acute angle is a type of angle that measures between 0 degrees and 90 degrees. It is smaller than a right angle (90 degrees) and larger than a zero angle (which has no width). In other words, an acute angle is less than a quarter turn.

To better understand what an acute angle looks like, imagine a clock face. If you were to draw a line from the center of the clock to any of its hour markers, the angle formed would be an acute angle because it would be less than 90 degrees. Another way to visualize an acute angle is to think of an isosceles triangle, where two of the angles are equal in measure, and both are acute angles.

Acute angles can be found in many everyday objects and situations. For example, the corners and edges of rectangular objects often form acute angles. In geometry, acute angles are important in different concepts and calculations, such as trigonometry and finding the measures of complementary and supplementary angles.

It is also worth noting that the word “acute” is derived from the Latin word “acūtus,” which means “sharp” or “pointed.” This etymology hints at the nature of an acute angle, which is sharp in its measurement and less than a right angle.

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