Angles in a Quadrilateral with Parallel and Equal Sides

Angles in a Quadrilateral with Parallel and Equal Sides

Secondary 1

In the diagram \(AHD\) is a straight line, \(BC=CD\), \(BH\) is parallel to \(CD\) and \(H\) is a point on \(AD\). \(\angle ABC=125{}^\circ \), \(\angle BCD=110{}^\circ \), \(\angle CDA=73{}^\circ \)

Find, stating all geometrical reasons clearly,

  1. \(\angle BAD\),
  2. \(\angle BDH\).

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Answer:(a) \(\angle BAD=52^\circ\) (b) \(\angle BDH=38^\circ\)

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