2026 TPSS P1 Q23

2026 TPSS P1 Q23

Secondary 4
5 marks

In the figure below, \(ABCDE\) is part of an \(n\)-sided regular polygon. The angle \(ABC\) is \(150^\circ\).

  1. Find the value of \(n\).[1]
  2. Prove that triangles \(ABC\) and \(CDE\) are congruent.[2]
  3. Hence, find angle \(CEA\).[2]

Solution:

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Answer:(a) \(n=12\) (b) \(\triangle ABC\equiv\triangle CDE\) (SAS) (c) \(30^\circ\)

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