The sentence highlights the professor’s ability to communicate difficult material in a way that students could easily understandThis suggests that the professor’s explanations were especially clear and effectiveFor the first blank, we need a word that conveys this clarityThe word ``lucid'' is ideal in this context, as it means expressed clearly and easy to understandIt often refers to explanations or speech that make complicated topics easier to graspTherefore, ``lucid'' fits perfectly for describing the professor’s style of teaching
For the second blank, the sentence refers to ideas that students were able to understand with ease, despite their inherent difficultyThe phrase “even the most” signals that these ideas were at the upper end of the difficulty spectrumThe word ``complex'' accurately describes such ideas, as it refers to things that are complicated, intricate, or made up of many interconnected parts``Complex'' is commonly used to describe advanced or difficult academic concepts, which makes it the most appropriate choice for the second blank
Together, ``lucid'' and ``complex'' create a meaningful contrast the professor's clarity made even the most difficult ideas accessible and understandable
Hence, the correct choices are (B) lucid for the first blank and (E) complex for the second