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SEAMO 2022 — Paper E — Grade 9–10 Question 4

SEAMO · SEAMO 2022 — Paper E — Grade 9–10

Question 4

In equilateral triangle $ABC$, $D$ lies on $AB$ and $E$ on $AC$. Lines $BE$ and $CD$ meet at $F$, with $\angle BFC=120^\circ$. Which relation between $AD$ and $CE$ is true?

Question illustration
  1. $AD\gt CE$
  2. $AD\lt CE$
  3. $AD=CE$
  4. $AD=\frac54CE$
  5. Impossible to tell