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Australian AMC 2015 - Senior Question 4

AMC AUSTRALIA · Australian AMC 2015 - Senior

Question 4

An equilateral triangle, a square and a regular pentagon are joined as in the diagram. What is the size of angle $x$?

Question illustration
  1. $108^\circ$
  2. $105^\circ$
  3. $90^\circ$
  4. $120^\circ$
  5. $102^\circ$