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- Dictionaryangle/ˈaŋɡl/
noun
- 1. the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet: "in any triangle, the longest side is opposite the largest angle"
- 2. a particular way of approaching or considering an issue or problem: "discussing the problems from every conceivable angle" Similar
verb
- 1. direct or incline at an angle: "he angled his chair so that he could watch her" Similar
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An angle is a figure formed by two rays sharing a common endpoint. Learn about the history, etymology, identification, and classification of angles, as well as their geometric and trigonometric properties.
- What Is An angle?
- Symbol of Angle
- Parts of Angles
- Types of Angles
- Interior and Exterior Angles
- Complementary and Supplementary Angles
- How to Construct An Angle
- Real-Life Application of Angles
- Angles Around Us
- Solved Examples on Angles
- GeneratedCaptionsTabForHeroSec
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”
The symbol ∠ represents an angle. Angles are measured in degrees (°) using a protractor. For example, 45 degreesis represented as 45°
Vertex:A vertex is a corner of an angle, a point where two lines/sides meet. O is the vertex in the given figure.Arms:The two sides of the angle, joined at a common endpoint. OA and OB are arms of an angle.Initial Side: Also known as the reference line, a straight line from where an angle is drawn. OB is the reference line.Terminal Side: The side up to which the angle measurementis done. In the given diagram below, OA is the terminal side.Based on their measurements, here are the different types of angles: 1. An acute angle measures less than90° at the vertex. 2. An obtuse angleis between 90° and 180°. 3. A right angleprecisely measures 90° at the vertex. 4. An angle measuring exactly 180° is a straight angle. 5. A reflex anglemeasures between 180°- 360°. 6. `A complete angle measur...
Interior angles: Interior Angles are the angles formed within or inside a shape. Here, ∠ABC, ∠BCA and ∠CAB are interior angles. Exterior angles: Exterior angles are the angles formed outside a shape, between any side of a shape and an extended adjacent side. Here, ∠ACD is an exterior angle.
Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles. Here, ∠BXC and ∠CXD are complementary angles. Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles. Here, ∠AXD and ∠CXD are supplementary angles.
Draw a ray OA of any length.Now, place the protractor at that point, and its midpoint should touch the marked point O.Now mark the point as B on the top circular part of a protractor, according to the preferred angle for example 40°.Draw a straight line joining those two points, O and B.Engineers construct buildings, bridges, houses, monuments, etc., using angle measurement.Athletes use its concept in sports to enhance their performance.Carpenters use it to make equipment like doors, chairs, sofas, tables, etc.Artists use their measurement knowledge to sketch or create art pieces.There are many daily life examples of an angle, such as cloth-hangers, arrowheads, scissors, partly opened doors, pyramids, edge of a table, the edge of a ruler, etc.
Example 1: Find missing angle x in the figure. Solution: We can see a ∠x + 35° = 90° ∠x = (90 – 35)° = 55° Example 2: Solve for x. Solution: 5x – 70 = 105 (alternate angles) 5x = 175 Therefore, x = 35° Example 3: In a triangle ABC, ∠A = 90 and ∠B = 30. Find ∠C. Solution: The sum of all 3 interior angles of a triangle is equalto 180°. Hence, 90° + 3...
Learn what an angle is, how to measure and classify it, and see real-life examples of angles. Explore the parts of an angle, types of angles, and how to construct an angle using a protractor.
Learn the meaning of angle as a noun and a verb in English, with synonyms, related words, and phrases. Find out how to use angle in geometry, trigonometry, photography, and more.
Learn the various meanings and uses of the word angle, from a corner or a figure to a direction or a technique. See synonyms, examples, word history, and related entries.
Learn what is an angle, how to measure and label it, and the different types of angles with examples. Explore the properties and theorems of angles in plane geometry and 3D geometry.
- 4 min
- An angle is defined as the figure, in which two rays meet at a common point called the vertex. The angle is denoted using the symbol “∠”.
- The different types of angles are: Acute angle Obtuse angle Right angle Reflex angle Straight angle Full angle
- The two main important properties of angles are: The sum of all the angles on one side of a straight line always measures 180 degrees. The sum of...
- The angle which is formed on the inside of a shape is called the interior angles, whereas the angles formed on the outside of the shape are called...
- If two angles share a common vertex and the common arm, then the angles are called adjacent angles. Vertical angles are the angles opposite each ot...
Aug 3, 2023 · The term ‘angle’ comes from the Latin word ‘angulus’, meaning ‘corner’. Angle. A degree is a measure of rotation. A full rotation around a point gives us a full circle which measures 360°, a half rotation gives us a half-circle, which is 180°, and a quarter rotation gives us a right-angle measuring 90°.
Learn what angles are, how to measure them using a protractor, and how to construct them. Explore the six types of angles and their properties with examples and worksheets.
