1. Lines
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Use the relationships of angles between parallel lines.
See solution.
We are given the following diagram.
In this diagram, a line intersects the parallel lines a and b. When two parallel lines are cut by a transversal, special angle relationships exist. If we know the measure of one of the angles, we can find the measures of all of the angles. In this case, we know that m∠1 is 120∘. Therefore, we can use these relationships to find m∠2 and m∠3. Let's start by finding m∠2.