Verticle angles are--------- which means they have---------‐ degree measures.

Answer:
Vertical angles are congruent which means they have equal degree measures.
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Explanation:
There's not much more to say. The term "congruent" means "equal or same".
For instance, congruent segments are the same length.
Another example: congruent triangles are clones of each other with the same corresponding side lengths and corresponding angles are the same measure as well.