Question 1128260: An angle measures 6 times the measure of its supplementary angle. Find the measure of both angles. Found 2 solutions by addingup, ikleyn:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! supplementary angles add up to 180 degrees
x + 6x = 180
7x = 180 = 25.71
one angle measures 25.71 degrees and the other measures 154.29 degrees
Let x the angle measure under the question.
Then its supplementary angle measure is 180 - x degrees.
The equation, from the condition, is
x = 6*(180-x)
Simplify and solve for x:
x = 6*180 - 6x
x + 6x = 6*180
7x = 6*180
x = degrees = degrees. ANSWER
