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

ConceptPolygons Regular and Irregular Polygons

#### 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

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)