Problema Solution
Two angles are supplementary if their sum is 180. The larger angle measures eight degrees more than three times the measure of a smaller angle. If X represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer provided by our tutors
if X represents the measure of the smaller angle and these two angles are supplementary then:
180 - X represents the second larger angle
the larger angle measures eight degrees more than three times the measure of a smaller angle:
180 - X = 8 + 3X
by solving we find:
X = 43 degrees
click here to see the step by step solution of the equation:
180 - 43 = 137 degrees
the two supplementary angles are 43 degrees and 137 degrees.