if an angle is 1 by 4 of its supplement then the degree measure of the angle is

As we know that a supplementary angle is a pair of angles whose sum is 180 degrees. As mentioned in the question, one of the angles is 1/4 of the other. Thus their ratio will be 1:4. Now the sum of the ratios is 5. Thus,1 = 1/5 of 180 or 36 degrees. Thus, the first angle = 36 degrees and the other angle = 180-36=154.