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How Many Sides Does a Regular Polygon Have If Each of Its Interior Angles is 165°? - CBSE Class 8 - Mathematics

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Question

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

Solution

Measure of each interior angle = 165°

Measure of each exterior angle = 180° − 165° = 15°

The sum of all exterior angles of any polygon is 360º.

Thus, number of sides of the polygon = `360^@/15^@ = 24`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 3: Understanding Quadrilaterals
Ex. 3.20 | Q: 4 | Page no. 44

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Solution How Many Sides Does a Regular Polygon Have If Each of Its Interior Angles is 165°? Concept: Polygons - Regular and Irregular Polygons.
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