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IKMC 2027 - Grades 7-8 - Self-study SET 9 - Thematic Batch 3 Question 22

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 9 - Thematic Batch 3

Question 22

Triangle ABC is isosceles at B, with angles BAC=ACB=30°. Points D1,D3,D5,...,D9 lie on AC and D2,D4,...,D8 lie on BC, with AD1=AB, BD2=BD1, D1D3=D1D2, D2D4=D2D3,...,D7D9=D7D8, forming ten small triangles as shown. What is their largest interior angle?

Question illustration
  1. 75
  2. $110-\frac5{256}$
  3. $120-\frac5{256}$
  4. 120
  5. $120+\frac5{256}$