1. Parallel Lines and Transversals
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Use the relationship of angles between parallel lines.
Angle Measure: 63^(∘)
Explanation: See solution.
Let's consider the given diagram.
To find the measure of ∠1, we will use the fact that corresponding angles of parallel lines are congruent. Since ∠1 and the 63^(∘) angle are corresponding angles and lines l and m are parallel, these angles are congruent.
Congruent angles have the same measure, so the measure of ∠1 is 63^(∘).