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SEAMO 2027 - Paper D - SET 08 - Self-study Question 15

SEAMO · SEAMO 2027 - Paper D - SET 08 - Self-study

Question 15

In triangle $ABC$, point $D$ lies on segment $AC$ such that $AB=AD$ and $\angle ABC-\angle ACB=30^\circ$. Find $\angle CAD$.

The target is retained exactly as printed: angle CAD, not another angle in the figure. Answer that literal question; a discrepancy with the source key is discussed in the solution.

Question illustration
  1. $10^\circ$
  2. $15^\circ$
  3. $20^\circ$
  4. $30^\circ$
  5. None of the above