Answer:
That word suggests that Booker T. believes that W.E.B has a very easy life not representing most blacks in the south.
Explanation:
This question refers to the poem "Booker T. And W.E.B." written by Dudley Randall.
In the second line of this poem, we can see the expression “It shows a mighty lot of cheek.” This expression uses the word “cheek” to refer to the easy life, where one has an appropriate diet and few concerns that allow someone to have a lush and admirable face with a lot of cheek. With that, the poet shows that Book T. believed that WEB had an easy life and that was why he positioned himself differently, as he did not know the suffering life of blacks in the south, who did not have "much cheek"