2025 EOY Sec 1 AHS P1 Q3

2025 EOY Sec 1 AHS P1 Q3

IP 1
6 marks
  1. \(WXYZ\) is a rhombus and \(VZY\) is a straight line. The diagonals of the rhombus, \(WY\) and \(XZ\) meet at a point \(O\). Given that angle \(VZW = 80^{\circ}\), find reflex angle \(XWZ\), stating your reasons clearly.

    [2]
  2. In the diagram, \(PQ\) is parallel to \(RS\) and \(PV\) is parallel to \(SQ\). Given angle \(VPW = 65^{\circ}\) and angle \(RSW = 54^{\circ}\), by stating your reasons clearly, calculate

    1. angle \(PWV\),

      [1]
    2. angle \(VSQ\).

      [3]

Solution:

Solution locked

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Answer:(a) \(280^\circ\). (b)(i) \(54^\circ\); (ii) \(61^\circ\).

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