## Trying to measure two different angles

Geometric formulae, word problems, theorems and proofs, etc.
icycoolx
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Joined: Fri Jan 24, 2014 6:29 pm
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### Trying to measure two different angles

I have to figure out the measure of the two different angles from the picture. If somebody could show me how to solve this type of problem then that would be great.

This was the question and there are a few others like it.

They say that you are supposed to measure the angles in degrees, minutes, and seconds. This ' stands for seconds, this " stands for minutes, and the degree symbol most people know already.

My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120

However I am not really sure what to do with these numbers or if I even figuring this out correctly.

maggiemagnet
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Joined: Mon Dec 08, 2008 12:32 am
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### Re: Trying to measure two different angles

My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120
I'm sorry, but I don't understand what you're doing. What are the fractions for? How did you get two answers for the size of the one angle? There are 60 seconds in 1 minutes and 60 minutes in 1 degree, so you add these like you add time. 40" + 30" = 70" = 1' 10" Then add the minutes from the two angles, and the degrees from the two angles. Then add all of it together, putting the 1' from the 40" + 30" in with the minutes, etc.

HallsofIvy
Posts: 16
Joined: Tue Feb 10, 2015 5:09 pm
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### Re: Trying to measure two different angles

I have to figure out the measure of the two different angles from the picture. If somebody could show me how to solve this type of problem then that would be great.

This was the question and there are a few others like it.

They say that you are supposed to measure the angles in degrees, minutes, and seconds. This ' stands for seconds, this " stands for minutes, and the degree symbol most people know already.
You have this backwards. ' is minutes, '' is seconds.
My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120

However I am not really sure what to do with these numbers or if I even figuring this out correctly.
I have no idea why you are doing those calculations. The problem is asking you to add those two angles.
One angle is 20 degrees, 15 minutes, 40 seconds and the other is 10 degrees, 12 minutes, 30 seconds.

Starting with the "seconds", 40+ 30= 70 seconds. But one minute is 60 seconds so that is 1 minute, 10 seconds.
Now add the minutes: 15+ 12= 27 minutes but then add that 1 minute from the seconds addition to get 28 minutes. Finally, 20+ 10= 30 degrees. The answer is 30 degrees, 28 minutes, and 10 seconds.