Angle Relationships in Regular Pentagons with Diagonal Intersections

Angle Relationships in Regular Pentagons with Diagonal Intersections

Secondary 1

The diagram below shows a regular pentagon \(ABCDE\). \(AC\) and \(BD\) intersect at \(F\).

Find the value of

  1. \(\angle CDF\),
  2. \(\angle DFA\),

stating your reasons clearly.

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Answer:(a) \(\angle CDF=36^\circ\) (b) \(\angle DFA=108^\circ\)

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