Angles in a Composite Figure of Regular Polygons

Angles in a Composite Figure of Regular Polygons

Secondary 1

In the diagram below which is not drawn to scale, \(ABCDE\) is part of an \(n\)-sided regular polygon, \(DEPQRS\) is a regular hexagon, \(CDS\) is an isosceles triangle and \(\angle CSD=48{}^\circ \).

By stating your reason(s) clearly, find

  1. \(\angle CDE\).
  2. the value of \(n\).

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Answer:(a) \(\angle CDE=156^\circ\) (b) \(n=15\)

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