__Angles__

**An angle is made up of two rays starting from a common end point.**

**Here, angle is formed by the rays and .**

**The name of the angle is ∠AOB or ∠BOA keeping the vertex in the
middle.**

**The interior of the angle is bounded by the arms of an angle.**

** **

**The exterior of the angle is the region that lies outside the angle.**

**Example: Name the angles in the figure:**

**The four angles in the given figure are**

**∠DAB, ∠ABC, ∠BCD and ∠CDA**

** **

**Example: In the given diagram, name the point(s)
a) In the interior of ∠DOE
b) In the exterior of ∠EOF
c) On ∠EOF**

** **

**a)Point in the interior of ∠DOE is A.
b) Points in the exterior of ∠EOF is C, A and D.
c) Points on ∠EOF is E, B, O and F.**

**Example: Draw rough diagrams of two angles such that they have**

**a) One point in common.
b) Two points in common.
c) Three points in common.
d) Four points in common.
e) One ray in common.**

**a) One point in common**

**∠AOB and ∠COD have only one point in common, i.e. O**

**b) Two points in common**

** **

**∠BOC and ∠COD have two points in common, i.e. O and C**

**c) Three points in common**

**∠BOC and ∠COD have three points in common, i.e. O, E and C.**

**d) Four points in common**

**∠BOC and ∠COD have four points in common, i.e. O, C, E and F.**