Question

According to this cartoon, men opposed giving women what apex

Answer 1

Most men thought only men should have the right to vote. (Apex)

Step-by-step explanation:

Answer 2

Referring to anti-suffrage cartoon

I believe the answer is: The right to vote

At that time, there was a general consensus that women are not rational enough to make a well thought decision compared to men.
This cause the majority of people perceive women to not having enough credibility to make their own decision, including determine which candidates that should be elected.