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IKMC 2027 - Grades 7-8 - Self-study SET 13 - Thematic Batch 3 Question 17

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 13 - Thematic Batch 3

Question 17

A semicircle is described in the source as having radius AB. Draw the zigzag inside it so that its segments make the marked angle $\alpha$ with AB, as shown. Find $\alpha$.

Editorial correction: Although the Vietnamese text twice says “radius AB”, the figure makes AB the diameter. All marked acute angles are taken equal to α, as intended by the diagram.

Question illustration
  1. $60^\circ$
  2. $72^\circ$
  3. $75^\circ$
  4. $80^\circ$
  5. Another answer