Acute Angle Explanation:
Acute angles are angles that are less than 90 degrees. They are commonly found in geometric shapes and are essential in understanding the properties of triangles and other polygons. Here is a detailed explanation of acute angles:

Definition:
- An acute angle is any angle that measures less than 90 degrees.
- It is commonly represented by a small arc above two rays that form the angle.

Characteristics:
- Acute angles are always less than a right angle (90 degrees) but more than 0 degrees.
- They are commonly found in right-angled triangles and other geometric shapes.
- Acute angles are essential in trigonometry and geometry to solve various problems and calculate unknown angles and sides.

Examples:
- An angle measuring 30 degrees is an acute angle.
- In an equilateral triangle, all three angles are acute angles measuring 60 degrees each.
- A clock showing a time of 3 o'clock forms an acute angle of 90 degrees with the hour and minute hand.

Importance:
- Understanding acute angles helps in determining the properties of shapes and solving mathematical problems.
- They are crucial in real-life applications like architecture, engineering, and design.
In conclusion, acute angles play a significant role in geometry and trigonometry, representing angles less than 90 degrees. They are essential in various calculations and real-life applications, making them a fundamental concept in mathematics.

An acute angle measures less than 90 degree.