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2021 AMC 12C Question 6

AMC12 · 2021 AMC 12C

Question 6

As shown in the figure below, point $E$ lies on the opposite half-plane determined by line $CD$ from point $A$ so that $\angle CDE = 110^\circ.$ Point $F$ lies on $\overline{AD}$ so that $DE = DF,$ and $ABCD$ is a square. What is the degree measure of $\angle AFE?$

Question illustration
  1. $160$
  2. $164$
  3. $166$
  4. $170$
  5. $174$