NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8th

Q. No. 4 of Exercises 3.2

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

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 = 360o


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


= 24

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