Congruent Quadrilaterals: Finding Missing Angles and Lengths

Congruent Quadrilaterals: Finding Missing Angles and Lengths

Secondary 2

In the diagram, quadrilaterals \(ABCD\) and \(PDRQ\) are congruent. \(BC=10\) cm, \(QR=7\) cm, \(\angle ABC=68{}^\circ \),\(\angle DAB=135{}^\circ \) and \(\angle DRQ=75{}^\circ \). Find

  1. stating your reasons clearly, \(\angle PQR\).
  2. obtuse \(\angle ADP\).
  3. \(CR\).

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Answer:\(\text{(a)}\ 82^\circ\) \(\text{(b)}\ 150^\circ\) \(\text{(c)}\ 3\text{ cm}\)

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