Answer: Angles are a mathematical concept used to measure the amount of rotation between two lines or planes, and are measured in degrees. They can be classified as acute, obtuse, or right.

Explanation: Angles are an important concept in mathematics that allow us to measure the amount of rotation between two lines or planes. In simpler terms, angles can be thought of as the space between two lines or the degree of bend between two intersecting lines.

Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can be classified into three types: acute angles, obtuse angles, and right angles.

An acute angle measures less than 90 degrees and is characterized by a sharp bend, like the angle created by the hands of a clock at 3:15. An obtuse angle measures more than 90 degrees but less than 180 degrees and is characterized by a wider bend, like the angle created by the hands of a clock at 10:10. A right angle measures exactly 90 degrees and is characterized by a perpendicular intersection of two lines, like the corner of a square.

Angles can be added, subtracted, and multiplied just like other mathematical values. When two angles are added together, their sum equals the total angle formed by their intersection. When two angles are subtracted, their difference equals the space between their intersecting lines. When an angle is multiplied by a number, the result is a new angle that has been scaled up or down in size.

Angles are used in many areas of mathematics, including geometry, trigonometry, and calculus. They are also used in everyday life, such as in measuring the height of a building or the width of a river. By understanding angles and how they work, we can better understand the world around us and make more informed decisions based on mathematical principles.