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IMAS 2024–2025 — Junior Division — Round 2 Question 4

IMAS · IMAS 2024–2025 — Junior Division — Round 2

Question 4

As shown in the diagram below, $ABCD$ is a quadrilateral with $AB=BC$, $\angle ABD=55^\circ$, $\angle CBD=75^\circ$ and $\angle ADC=115^\circ$.

Question illustration

What is the positive difference (subtract the smaller angle from the larger angle), in degrees, of $\angle BAD$ and $\angle BCD$?
  1. $0^\circ$
  2. $10^\circ$
  3. $11.5^\circ$
  4. $13^\circ$
  5. $14.5^\circ$