# Ex 3.2, 5 - Chapter 3 Class 8 Understanding Quadrilaterals

Last updated at Aug. 4, 2018 by Teachoo

Last updated at Aug. 4, 2018 by Teachoo

Transcript

Ex 3.2, 5 (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?Given that Exterior angle = 22° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° 22° × n = 360° n = 360"°" /22"°" n = 16.36 Since n cannot be in decimals, 22° external angle is not possible Ex 3.2, 5 (b) Can it be an interior angle of a regular polygon? Why? Given Interior angle = 22° Now, By linear pair Interior angle + Exterior angle = 180° 22° + Exterior angle = 180° Exterior angle = 180° − 22° = 158° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° 158° × n = 360° n = 360"°" /158"°" n = 2.27 Since n cannot be in decimals, 158° external angle is not possible

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.