Degree Measure (Sexagesimal system)

A degree is defined to be an angle formed by half-line (or a ray) rotated about its end point
of a complete revolution.
Thus 360o = 1 complete rotation

A degree is further divided into 60 equal part called a minutes and each minute is further subdivided into 60 equal parts called seconds, we denote the minute by (') and second by (").
1o = 60 minutes = 60'1' = 60 seconds = 60"
\ 1o = 3600"Thus 49 degrees 38 minutes 56 seconds is written in symbols as
49o 38' 56"Note:
i) Angle 0o: If there is no rotation, ie., the initial side and the terminating side of the angle coincides then the angle measure is 0o.
ii) If a radius vector makes a 'n' number of rotations and finally stops at a position then the angle is [(360)(n) + q]o

The measure of the angle forms = [(360)(2) + 60]o = 780o
Types of Angles
Acute angle

Obtuse angle

Right angle

Reflex angle

A straight angle

