Answered

Join the IDNLearn.com community and start getting the answers you need today. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterior angle.

Sagot :

The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.