Angles
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Angles :When two rays meet at one point , the angle is formed. The common point is called the
Vertex and the two rays are called the
arms of the angle.
Here B is the vertex and AB and AC are two rays which are arms of the angle ABC.
Naming of Angle
There are several ways of naming of angles as discussed below :
1) While representing the name of angles the vertex should be in the middle and point on each arm on either side of the vertex.
Example :
The angle ABC is represented as
∠ABC or ∠CAB.
2) We name an angle by writing the letter at the vertex of the angle.
Example :
∠ABC is also denoted by ∠B.
3) The angle is also named by placing 1,2,3 etc. or small letter a,b,c etc. near the small circular arc connecting the two arms of the angle.
The angles are measured with the help of protractor. The measurements are in degrees. The degrees vary from 0 to 180. On the basis of the measurement there are different types of angles.
Interior and Exterior of an Angle
Consider ∠AOB. We observe that all points in the plane of ∠AOB can be divided into three groups :
i) Points which lie
within the arms of the angle produced .
ii) Points which lie
on the arms of the angle .
iii) Points which lie
outside the arms of the angle.
Example :
Point P is in the interior of ∠AOB.
Point Q is in the exterior of ∠AOB.
Point A, B and O are on the ∠AOB.


Types of angle 
Description 
Acute angle 
An angle lies between 0^{0} and 90^{0} 
Right angle 
Whose measure is exactly 90^{0} 
Obtuse angle 
An angle whose measure is greater than 90^{0} and less than 180^{0} 
Straight angle 
Whose measure is exactly 180^{0} 
Reflex angle 
An angle whose measure is greater than 180^{0} 
Basic Geometry
• Point
• Lines
• Angles
• Lines  Angles
• Complementaryangles
• Supplementaryangles
• Vertically OppositeAngles
• Linear PairAngles
• Adjacent Angles
• Parallel Lines
• Solved Problems on Intersecting Lines
• Solved Problems on Parallel Lines
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