An angle is a geometric figure formed by two rays that share a common endpoint called the vertex. It is typically represented by the symbol (∠).
Angles are measured in degrees (°). A full circle contains 360 degrees, and angles can be smaller or larger fractions of this measurement.
There are several types of angles: – Acute Angle: Measures less than 90°. – Right Angle: Exactly 90°. – Obtuse Angle: Measures more than 90° but less than 180°.
– Straight Angle: Exactly 180°. – Reflex Angle: Measures more than 180° but less than 360°. – Full Angle: A complete 360° circle.
Angles play a crucial role in geometry, helping define shapes, lines, and the relationships between them.
Common pairs of angles include: – Complementary Angles: Two angles that add up to 90°. – Supplementary Angles: Two angles that add up to 180°.
Vertical Angles: Pairs of opposite angles formed by intersecting lines; they are congruent (have equal measures).
Angles can be measured using a protractor, a tool designed for this purpose. Place the protractor's center at the vertex and read the measurement.
Angles are often named based on their vertex and the two rays that form them. For instance, if the vertex is point A and the rays are AB and AC, the angle can be denoted as ∠BAC.
Angles are used in various fields like architecture, engineering, navigation, and art. Understanding angles is crucial for tasks like designing buildings, navigating aircraft, and creating visually appealing artwork.