Interior and Exterior Angles of an Octagon

Interior and Exterior Angles of an Octagon

TGM Original

In an octagon, four of the interior angles are \(2x{}^\circ \) each and the other four angles are \(\left( 2x+15 \right){}^\circ \), \({\left( 2x+25 \right){}^\circ }\), \(\left( 2x+35 \right){}^\circ \) and \(\left( 3x-15 \right){}^\circ \) respectively.
Find

  1. the value of \(x\),
  2. the size of the smallest exterior angle.

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Answer:(a) \(x=60\) (b) \(15^\circ\)

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