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 158632This 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
Let x = "the angle"
Then
(180-x) = it's supplement
:
Write an equation for what it says:
(180-x) - 24 = 2x
180 - 24 = 2x + x
156 = 3x
x = 156%2F3
x = 52 is the angle
and
180 - 52 = 128 is the supplement
:
:
Check solution in the given statement:
128 - 24 = 2(52)