Q. 44.3( 171 Votes )

# How many sides does a regular polygon have if each of its interior angles is 165°?

Answer :

As per question,

Measure of each interior angle = 165°

Hence, Measure of each exterior angle = 180° − 165°

= 15°

Sum of all exterior angles of polygon = 360^{o}

Thus, number of sides of the polygon =360^{o}/15°

= 24

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