What is the supplement of 13 degrees 13 minutes 13 seconds?
- 166 degree 46 minutes 47 seconds.
- 167 degrees 46 minutes 47 seconds.
- 266 degrees 87 minutes 87 seconds.
Explanation
The supplement is 180 degrees minus the angle. Subtracting 13 degrees 13 minutes 13 seconds from 180 degrees (treated as 179 degrees 59 minutes 60 seconds for borrowing) gives 166 degrees 46 minutes 47 seconds. The borrowing across degrees, minutes and seconds is what makes the minutes and seconds 46 and 47.
syafinaz9092 asking:
somebody can explain? thanks
Community Comments (1)
B
bharatbc Posts: 1 01.05.2015 / 06:03
There are two famous methods for representing degrees and their fractional parts.
1.Decimal degree method e.g 76.45 degrees
2.DMS(degree minute second) method e.g 167 degrees 46 minutes 47 seconds
As we know that if the sum of the measures of two angles is equals to 180 degrees, the angles are supplementary. To find the supplement of any angle, subtract the angle from 180 degrees.
first write the 180 degrees in the form of degree minute second as required. 180 degrees=179 degrees 59 minutes 60 seconds (borrow 1 degree from 180 degrees. 1 degree = 60 minutes. again borrow 1 minute from 60 minutes.1 minute =60 seconds) now subtract 13 seconds from 60 seconds i.e 60-13=47 seconds , subtract 13 minutes from 59 minutes i.e 59-13=46 minutes and subtract 13 degrees from 179 degrees i.e 179-13=166 degrees
therefore answer is 166 degrees 46 minutes 47 seconds
To find complement of any angle, replace 180 degrees with 90 degrees and follow same process.
1.Decimal degree method e.g 76.45 degrees
2.DMS(degree minute second) method e.g 167 degrees 46 minutes 47 seconds
As we know that if the sum of the measures of two angles is equals to 180 degrees, the angles are supplementary. To find the supplement of any angle, subtract the angle from 180 degrees.
first write the 180 degrees in the form of degree minute second as required. 180 degrees=179 degrees 59 minutes 60 seconds (borrow 1 degree from 180 degrees. 1 degree = 60 minutes. again borrow 1 minute from 60 minutes.1 minute =60 seconds) now subtract 13 seconds from 60 seconds i.e 60-13=47 seconds , subtract 13 minutes from 59 minutes i.e 59-13=46 minutes and subtract 13 degrees from 179 degrees i.e 179-13=166 degrees
therefore answer is 166 degrees 46 minutes 47 seconds
To find complement of any angle, replace 180 degrees with 90 degrees and follow same process.
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