Ángulos

In geometry, ángulos (Spanish for "angles") are formed by two rays, line segments, or lines sharing a common endpoint, called the vertex. Angles measure the amount of turn between these two entities. They are typically measured in degrees (°), with a full rotation being 360°, or in radians, with a full rotation being 2π radians.

Angles can be classified based on their measure:

• Acute angle: An angle that measures between 0° and 90° (exclusive).
• Right angle: An angle that measures exactly 90°.
• Obtuse angle: An angle that measures between 90° and 180° (exclusive).
• Straight angle: An angle that measures exactly 180°.
• Reflex angle: An angle that measures between 180° and 360° (exclusive).
• Full angle: An angle that measures exactly 360°.

Angles also have relationships with each other:

• Complementary angles: Two angles whose measures add up to 90°.
• Supplementary angles: Two angles whose measures add up to 180°.
• Adjacent angles: Two angles that share a common vertex and a common side but do not overlap.
• Vertical angles: Two angles formed by intersecting lines that are opposite each other and are congruent (equal in measure).

The concept of angles is fundamental in trigonometry, geometry, and various fields of science and engineering.