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Polygons

Polygons

TGM Original Questions

In the figure below, ABCDE is a regular pentagon, ABMN and AEQP are squares.

  1. Find the size of angle BAE.
  2. Find the size of angle CDF.
  3. Find the size of angle BFE.
  4. Find the size of angle NAP.
  5. Find the size of angle ABF.
  6. Find the size of angle QEF.
  7. Hence determine the type of quadrilateral ABFE, stating your reasons clearly.

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Answer:(a) \(108^\circ\) (b) \(36^\circ\) (c) \(108^\circ\) (d) \(72^\circ\) (e) \(72^\circ\) (f) \(162^\circ\) (g) \(ABFE\) is a rhombus

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