Final answer:
Conner used the door-in-the-face technique to convince his mother to give him more money.
Step-by-step explanation:
The technique that Conner used in this scenario is door-in-the-face technique. The door-in-the-face technique is a persuasion technique where a person starts by making a large request that is likely to be rejected, and then follows it with a more reasonable request which is more likely to be accepted. In this case, Conner initially asked his mother for $50, knowing that she would likely refuse. Then, he followed it up with a request for $30, which she agreed to.