# Angles

A geometric shape generated by the intersection of two line segments, lines, or rays is called an angle. In contrast to linear distance, angles are a measure of rotational distance. A fraction of a circle can also be thought of as an angle. The distance (measured in degrees or radians) that one segment must be turned about the intersecting point in order for the two segments to overlap is the angle between the two line segments. Angles are very important in the definition and study of polygons like triangles and quadrilaterals. They’re used to find the range of fields, woodworking, and physics.

A geographic coordinate system can be used to determine the location of any point on the Earth. Using the equator and the Greenwich meridian as references, this approach describes the latitude and longitude of any point in terms of angles subtended at the Earth’s center. A given point on the celestial sphere can be recognised in astronomy using one of numerous astronomical coordinate systems, each with its own set of references. Astronomers calculate the angular separation between two stars by drawing two parallel lines through the Earth’s center, one intersecting the other. The angular separation between the two stars can be calculated by measuring the angle between those lines.

That seeing a direction can be expressed in terms of a vertical angle such as altitude/elevation with respect to the horizon or azimuth with regard to north in both geography and astronomy.

Astronomers also use an angular diameter to measure the apparent size of objects. When viewed from Earth, the full moon, for example, has an angular diameter of about 0.5°. “The Moon’s diameter formed a half-degree angle,” one could say. To convert an angular measurement into a distance/size ratio, apply the small-angle formula.

## What is Angle?

An angle is a figure designed or created by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle, in Euclidean geometry. Angles formed by two rays lie in the plane in which the given rays are contained. Angles are also formed when two planes intersect. Dihedral angles are what they’re called. Two intersecting curves can also form an angle, which is the angle formed by rays lying tangent to the curves at their junction.

Angle can also refer to the measurement of an angle or a rotation. The arc is centered at the vertex and defined by the sides,  called a geometric angle. On  rotation, the arc is centered at the rotation’s center and delimited by any other point, with the rotation’s image as its boundary.

When two lines intersect at a point, an angle is generated. An ‘angle’ is the measurement of the ‘opening’ between these two rays. It is symbolized by the sign. The  Angles are evaluated in degrees and radians, which are both measures of circularity and rotation. Angles are a common occurrence in our daily lives. Angles are used by engineers and architects to create roads, buildings, and sporting facilities.

When two rays are connected at their endpoints in geometry, an angle is generated. These rays are known as the angle’s sides or arms. Let’s have a look at the various components of an angle.

## Angles and their Types

There are six different kinds of angles. On the basis of angle measurement, each sort of angle has its own unique identifier. Let’s take a look at each sort of angle and their characteristics one by one.

• ### The Acute Angle

An acute angle is one that is larger than 0° but less than 90° in length.

• ### The Right Angle

A right angle is defined as one that measures 90 degrees. A right angle is immediately identifiable because it takes the shape of the letter L.

• ### The Angle of obtuse

An obtuse angle is an angle value less than 180 degrees but higher than 90 degrees.

• ### The straight angle

A straight angle is the angle formed by a straight line. To put it another way, a straight angle is a straight line, and the angle generated by two rays is 180°. The two rays are opposite each other at a straight angle. A straight angle is formed by adding up two right angles. A straight angle is one-half of a circle’s turn because its measurement is 180°.

• ### The Angle of Reflex

A reflex angle can be defined as the angle that is larger than 180 degrees but less than 360 degrees.

• ### The complete angle

A complete angle can be defined as the angle when the measurement of an angle equals 360°.

### Point To remember;

• · 0°< Acute angle < 90°
• · 90°< Obtuse angle < 180°
• · 180° < Reflex angle < 360°
•  A right angle is =  90°
• · A straight angle is = 180°.
• ·A complete angle is = 360°.

Get answers to the most common queries related to the IIT JEE Examination Preparation.

## What are Angles in Math?

Ans : Angles play an important role in mathematics, notably in geometry. Two rays (or lines) that b...Read full

## What are Acute Angles in Math?

Ans : Two lines intersect at a location to make an angle in mathematics. In Geometry, there are man...Read full

## What is the sum of angles of a triangle?

Ans : the sum of angles of a triangle is equal to 180...Read full

## What is the Right Angle in Math?

Ans : A 90-degree angle is defined as a right angle. It can be found in the corners of a room, on t...Read full