# Find the number of sides of a regular polygon, if each of its interior angle is 135 degrees.

Given each interior angle= $135^{\circ}$

$\therefore$ Each exterior angle= $180^{\circ}-135^{\circ}=45^{\circ}$      (Exterior angle + Interior angle=$180^{\circ$)

$\therefore Number\, \, of\, \, sides\, =\frac{360^{\circ}}{Ext.\, \, angles}=\frac{360}{45}=8$

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