Finding Unknown Angles Using Parallelogram and Isosceles Triangle Properties

Finding Unknown Angles Using Parallelogram and Isosceles Triangle Properties

Secondary 1

\(ABCD\) is a parallelogram and \(\Delta BCE\) is an isosceles triangle. Given that \(\angle BEC=55{}^\circ \) and \(\angle ADB=50{}^\circ \), find

  1. \(\angle CBE\),
  2. \(\angle ABD\),

stating your reason(s) clearly.

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Answer:(a) \(\angle CBE=70^\circ\) (b) \(\angle ABD=60^\circ\)

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