Angle
An angle is a geometric figure formed by two rays that share a common endpoint, known as the vertex of the angle
An angle is a geometric figure formed by two rays that share a common endpoint, known as the vertex of the angle. These rays are also known as the sides of the angle. You can think of an angle as the amount of rotation between two lines that meet at a point.
Angles are measured in degrees (°) or radians (rad). A full rotation around a point is 360° or 2π radians.
There are different types of angles based on their measurements:
1. Acute angle: An acute angle is an angle that measures between 0° and 90°. It is smaller than a right angle.
2. Right angle: A right angle measures exactly 90°. It forms a perfect L-shape.
3. Obtuse angle: An obtuse angle measures between 90° and 180°. It is larger than a right angle.
4. Straight angle: A straight angle measures exactly 180°. It forms a straight line.
5. Reflex angle: A reflex angle measures between 180° and 360°. It is larger than a straight angle.
In addition to the above, angles can also be classified as complementary and supplementary:
1. Complementary angles: Two angles that add up to 90° are called complementary angles. For example, if one angle measures 30°, the other angle that completes it will measure 60°.
2. Supplementary angles: Two angles that add up to 180° are called supplementary angles. For example, if one angle measures 120°, the other angle that completes it will measure 60°.
To measure angles, you can use a protractor. Place the protractor on the vertex of the angle, aligning the baseline of the protractor with one of the angle’s sides. Read the measurement where the other side of the angle intersects with the protractor.
Angles are an important concept in mathematics and have many applications in various fields such as geometry, trigonometry, and physics. Understanding angles and their properties is essential for solving math problems involving shapes, relationships, and measurements.
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