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SMO 2007 Senior Round 1 Question 5

SMO · SMO 2007 Senior Round 1

Question 5

Four rods are connected together with flexible joints at their ends to make a quadrilateral as shown. Rods $PQ=40$ cm, $RS=20$ cm, $PS=60$ cm and $\angle QPS=\angle RSP=60^\circ$. Find $\angle QRS$.

Question illustration
  1. $100^\circ$
  2. $105^\circ$
  3. $120^\circ$
  4. $135^\circ$
  5. $150^\circ$