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Two lines are cut by four parallel lines of equal distance as shown in the figure. Find the values of x and y.
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the given figure above
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| Photo by Math Principles in Everyday Life |
If a theorem says "If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.", then we can equate the two line segments in order to solve for the value of x as follows
Finally, equate the other two line segments in order to solve for the value of y as follows
