The measure of the supplement of an angle is 20° More than three times the measure of the original angle. Find the measures of the angles

Answer:The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.Solution:Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.  We have to Find the measures of the angles. Let the original angle be n degrees. We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n. Now according to the given information, 180 – n = 20 + 3 x n 180 – n = 20 + 3n  3n + n = 180 – 20 4n = 160 n = 40 Then, supplementary angle is 180 – 40 = 140 degrees. Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.