Concept explainers
To find: the values of x and y that makes the red lines parallel and the blue lines parallel.
Answer to Problem 19WE
Explanation of Solution
Given:
The diagram:
Concept Used:
Theorem 3-5: If two lines are cut by a transversal and alternate interior
Theorem 3-6: If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel.
Labeling the given figure:
From the above figure, it can be observed that the angles
Now by theorem 3-5, for the red lines
Now, it can also be observed that the angles
Now by theorem 3-6, for the blue lines
Now,
And,
So,
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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