2. Angles of Triangles
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Use the relationship of angles between parallel lines.
Angle Measure: 82^(∘)
Explanation: See solution.
Let's consider the given diagram.
To find the measure of ∠ 6, we will use the fact that when two lines intersect, vertical angles are formed on opposite sides of the point of intersection, and these angles are always congruent.
Since 82^(∘) and ∠ 6 are vertical angles, these angles are congruent. m∠ 6 = 82^(∘)