the ratio of the measurement of an angle to its supplement is 3:5 . Find the measurement of the angle and its supplement.

Question

please help me solve this

Answer 1

Hi Kelly

 

The supplement and the angle in this problem must add to 180 degrees.

 

Since the ratio is 3:5, this means that there is a common multiplier (in this case angle) that when compared between the angle and the supplement of the angle give the ratio of 3:5. 

 

Since that common factor or multiplier can be treated as X, we can set up an expression as 3x + 5x = 180.

 

This will give you an incremental angle, X.  If you then multiply by 3 you obtain the angle and multiplying  X by 5 will give you its supplement angle.

 

Another way to look at it is once you obtain your angle from 3*x, then you could also subtract it from 180 to obtain the supplement.