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Australian AMC 2017 - Senior Question 5

AMC AUSTRALIA · Australian AMC 2017 - Senior

Question 5

This pinwheel star is formed by rotating a right-angled triangle around one of its corners. What is the angle at each of the nine tips that are marked with dots? The nine congruent triangles meet at the centre and fill one full turn there.

Question illustration
  1. $30^\circ$
  2. $40^\circ$
  3. $45^\circ$
  4. $50^\circ$
  5. $60^\circ$