Angles in a Regular Pentagon and Related Regular Polygon

Angles in a Regular Pentagon and Related Regular Polygon

Secondary 1

\(ABCDE\) is a regular pentagon.

  1. Find \(\angle BCD\).
  2. \(FAEG\) is part of a regular polygon. Given that \(\angle EDG=31.5{}^\circ \), find
    1. \(\angle AEG\).
    2. the number of sides of the polygon.

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Answer:(a) \(\angle BCD=108^\circ\) (b)(i) \(\angle AEG=135^\circ\) (b)(ii) \(8\) sides

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