Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Proofs with Parallel Lines
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Exercise 23 Page 515

What do we need to know about the angles around the two points of intersection?

It cannot be determined.
Explanation: See solution.

Practice makes perfect

We only know the angles around the point where AC is cut by the transversal. To determine if AC and DF are parallel, we need to know at least one of the angles around the point where DF cuts the transversal. Since we do not have that, we cannot say that if the lines are parallel or not.