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You are here: Experts > Science > Math for Kids > Geometry > geometry
Expert: Scott A Wilson - 10/20/2009
Question
2 vertical angels in an X shape, one angle is 3x and the other angle is (80-x). Find the value of each variable
Answer
If you have 2 vertical angles and together they measure X,
then that is the sum of the measurements of each.
Thus, X = 3X + 80-X.
This is the same as X = 2X + 80.
Subtracting 2X from both sides gives -X = 80, so X = -80.
Checking this out means one angle is 3X, so it is -240.
The other angle is 80-X, so it is 80--80 = 80+80 = 160.
When -240 and 160 are added together, the result is -80, and that is suppose to be X,
which it is.
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