1. Lines
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We are given the following diagram.
We are asked to make a conjecture about the relationship of ∠1 and ∠2. Let's start by analyzing the diagram.
Since ABCD is a parallelogram, its opposite sides are parallel. Therefore, if we lengthen three sides of the parallelogram, we get a line that intersects two parallel lines. When two parallel lines are cut by a transversal, special angle relationships exist. Let's find the relationship of ∠1 and ∠2! To do so, we will start by marking an extra angle in the diagram.
Now let's analyze the relationship between ∠1 and ∠3.