mÐ1:mÐ2 = 1:5. Find mÐ2 
This question is from textbook Math A 1&2


Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 
mÐ1:mÐ2 = 1:5. Find mÐ2

You have to know the measure of the sum of mÐ1 + mÐ2.
Otherwise you can't do the problem.

Were you told that Ð1 and Ð2 are 
complementary angles? Like this?:


|  /
|1/
|/2
 ¯¯¯¯¯¯
If so, then mÐ1 + mÐ2 = 90°

Let m<2 = x.  Then mÐ1 + x = 90°
                       mÐ1 = 90°-x

mÐ1:mÐ2 = 1:5

(90°-x):x = 1:5

Product of the means = product of the extremes

1x = 5(90° - x) 

 x = 450° - 5x 

6x = 450°

 x = 75°    

So mÐ2 = 75° 

Or, were you told that Ð1 and Ð2 are 
supplementary angles? Like this?:


       \    
        \  
        1\2 
 ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
If so, then mÐ1 + mÐ2 = 180°

Let mÐ2 = x.  Then mÐ1 + x = 180°
                       mÐ1 = 180°-x

mÐ1:mÐ2 = 1:5

(180°-x):x = 1:5

Product of the means = product of the extremes

1x = 5(180 - x) 

 x = 900° - 5x 

6x = 900°

 x = 150°    

So mÐ2 = 150° 

Edwin
   

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