2023 AISS EM S1 EOY P1 Q13

2023 AISS EM S1 EOY P1 Q13

4 marks

Quadrilateral \({ABCD}\) is such that \({AB = 10\ \mathrm{cm}}\), \({BC = 12\ \mathrm{cm}}\), \({AD = 10.5\ \mathrm{cm}}\), \({CD = 7\ \mathrm{cm}}\) and angle \({ABC = 70^\circ}\)

The line \({AB}\) has been drawn in the answer space below.

  1. Construct quadrilateral \({ABCD}\).[3]
  2. Measure and write down angle \({BCD}\).[1]

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Answer:(b) \(\angle BCD\approx103^\circ\), allowing for construction tolerance.

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