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Lines AB, CD, and LK intersect as shown in the figure below. AB I CDKA

Lines AB, CD, and LK intersect as shown in the figure below. AB I CDKA-example-1

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The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

Given that:


\begin{gathered} m\angle\text{LRB}=86\degree,\text{ its alternate exterior angle is }m\angle\text{CSK} \\ \\ \text{Therefore,} \\ m\angle\text{CSK}=m\angle\text{LRB} \\ m\angle\text{CSK}=86\degree\text{ (final answer)} \end{gathered}

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