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# How many sides does a regular polygon have if each of its interior angles is $ 165^{\circ} $?

We know that,

For a regular n-sided polygon:

Each interior angle = 180−($\frac{360\degree }{n}$)

Given that,

Each interior angle measures 165°.

Let the number of sides be n.

Therefore,

$\begin{array}{l}$

$The number of sides is 24.$

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