Answer :

C) After finishing cleaning the dishes, the videos games began

This is a dangling modifier as it is missing who is cleaning the dishes.

The “After finishing cleaning the dishes” is also referring to the video games (as it comes after the phrase) which a video game can not physically clean dishes.

Answer:

After finishing cleaning the dishes, the video games began.

Explanation:

In this sentence, we are missing the subject or noun that is undertaking the action of "finishing cleaning the dishes". Since there is no subject, the underlined phrase is known as a dangling modifier.  

I hope this helps!

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