SOLUTION: The ratio of the complement of an angle to its supplement is 1 to 4. Find the measure of the angle. I know how to set up the problem x/180-x-60 = 1/4 which is x/120-x = 1/4 but I

Question 332296: The ratio of the complement of an angle to its supplement is 1 to 4. Find the measure of the angle. I know how to set up the problem x/180-x-60 = 1/4 which is x/120-x = 1/4 but I just don't know why they subtract the 60. Please explain!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = given angle

So it's complement is and it's supplement is

So if "The ratio of the complement of an angle to its supplement is 1 to 4", then . I'll let you solve for x.
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