The two evidence types that President Obama used to support his claim were:
Obama used anecdotal evidence to support his points on the child-refugee problem when he likened refugees to his own daughters.
He also talked about he had met a refugee and saw some struggles. These pieces of evidence are anecdotal because they represent true incidents that Obama has gone through.
Find out more on anecdotal evidence at https://brainly.com/question/17386761.
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