SOLUTION: the questions says: The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and it's supplement.

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Question 158634This question is from textbook
: the questions says: The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and it's supplement. This question is from textbook

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
the questions says: The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and it's supplement.
.
The key hinges on knowing the definition of "supplement".
Two angles are supplementary if the sum of the two angles equals 180.
.
Let x = measure of the angle
then
180-x = supplement of the angle
.
Then from: "The measure of an angle's supplement is 24 less than twice the measure of the angle" we get
180-x = 2x-24
180 = 3x-24
204 = 3x
68 degrees = x
.
supplement then is
180-68 = 112 degrees