Angle Relationships in a Figure Derived from a Regular Decagon

Angle Relationships in a Figure Derived from a Regular Decagon

Secondary 1

In the figure below, \(ABCDE\) is part of a regular decagon (\(10\)-sided).
Writing down the reasons clearly, find the value of

  1. \(\angle BCD\),
  2. \(\angle BDE\),
  3. \(\angle DBF\),
  4. \(\angle BAF\).

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Answer:(a) \(\angle BCD=144^\circ\) (b) \(\angle BDE=126^\circ\) (c) \(\angle DBF=54^\circ\) (d) \(\angle BAF=54^\circ\)

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