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Finding Interior and Exterior Angles in a Regular Octagon

Finding Interior and Exterior Angles in a Regular Octagon

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The figure shows a regular octagon \(ABCDEFGH\). The lines \(BC\) and \(ED\) produced meet at \(X\).

Calculate

  1. the size of each interior angle of the octagon,
  2. angle \(DCX\),
  3. angle \(CXD\).

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Answer:(a) \(135^\circ\) (b) \(\angle DCX=45^\circ\) (c) \(\angle CXD=90^\circ\)

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