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MathNet 2021 — Part 09 Question 89

Math Olympiad Vault · MathNet 2021 — Part 09

Question 89

As shown in the figure below, point $E$ lies in 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. $174$