Given the information in the diagram, which theorem best justifies why lines j and k must be parallel? alternate interior angles
2 answers:
There are several theorems that can be used to prove parallel lines
For the given information, the best theorem is <em>(d) converse alternate exterior angles theorem</em>
In plane geometry, the converse alternate exterior angles theorem implies that:
- For any two lines, that is cut through by a transversal
- If the alternate exterior angles are congruent
- Then the lines are parallel
In the given diagram (see attachment)
- The transversal is line m
- The parallel lines are line j and line k
- The alternate exterior angle on both lines is 93 degrees
Because
<em>93 degrees = 93 degrees</em>
Then, the angles are parallel based on <em>(d) converse alternate exterior angles theorem</em>
Read more about converse alternate exterior angles theorem at:
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