Final answer:
a. "That the object of these quick turns is the capture of insects, I am sure, having watched one thus engaged pretty close to me." Mr. Gosse uses firsthand experience to support his claims in sentence a.
Step-by-step explanation:
The sentence that Mr. Gosse uses firsthand experience to support his claims is sentence a. "That the object of these quick turns is the capture of insects, I am sure, having watched one thus engaged pretty close to me." In this sentence, Mr. Gosse states that he personally observed a hummingbird engaged in quick turns to capture insects, providing firsthand evidence to support his claim.