Could someone show me the work for the answer?

Explanation:

The "work" is to look at the diagram and understand what it is telling you.

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The single hash marks indicate sides that are the same length (congruent).

The double hash marks indicate sides that are the same length (congruent).

The (vertical) angle between the sides is marked 42° in both cases. It would not have to be marked, because vertical angles are always congruent.

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So, you have two sides and the angle between them that are congruent. That is the meaning of the acronym SAS (for Side-Angle-Side). Hence, you invoke the SAS property to declare the triangles congruent. (choice B).

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step-by-step explanation: