the difference in direction of the two sides. This size is measured in degrees (), minutes ('), and

seconds (").

a. The minutes are subdivisions of a degree. There are 60' in 1. The seconds are a subdivision

of the minutes. There are 60" in 1' and 3,600" in 1. Seconds are usually subdivided into tenths and

hundredths of a second and are always expressed as decimal fractions of a second.

b. The basis of all angles is the circle, which contains 360. The four ways 360 may be written

are as follows:

360

360 00' 00"

359 59' 60"

0 00' 00"

It should always be remembered that each of the minutes and seconds columns must have at least two

figures; therefore, many times a zero must be added in front for a single digit or two zeros must be

added to denote no minutes or seconds.

minutes, and seconds. The important point to remember in the first portion of this process is that 1

equals 60' and when there are degrees remaining after the initial division, they must be converted to

minutes before carrying them over to the minutes column. As shown in the example below, 3 will go

into 10 3 times, leaving a remainder of 1. Before making the second division, this 1 must be changed

to 60' and added to the number of minutes in the original problem.

a. The original problem shows 32'. Add 60' (the remainder of 1) to 32', which results in a sum

of 92. Divide 92 by 3, which will go 30 times with a remainder of 2'.

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