Question

If ratio of two angles subtended by two arcs in a circle of unequal length is 5 : 3 the sexagesimal value of the second angle is 45 degree. Find the first angle.​

Answer 1

(a) Sexagesimal System: In Sexagesimal System, an angle is measured in degrees, minutes and seconds.

complete rotation describes 360°. In this system, a right angle is divided into 90 equal parts and each such part is called a Degree (1°); a degree is divided into 60 equal parts and each such part is called a Sexagesimal Minute (1’) and a minute is further sub-divided into 60 equal parts, each of which is called a Sexagesimal Second (1’’). In short,

1 right angle

1 degree (or 1°)

and 1 minute ( or 1’ )

= 90 degrees (or 90°)

= 60 minutes ( or 60’)

= 60 seconds ( or 60’’).

thanks brothers