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  1. Chapter 3 Class 8 Understanding Quadrilaterals
  2. Serial order wise

Transcript

Ex 3.2, 6 (a) What is the minimum interior angle possible for a regular polygon? Why?We know that Sum of angles of a regular polygon = Number of sides ร— interior angle (n โˆ’ 2) 180ยฐ = n ร— interior angle Interior angle = ((๐‘› โˆ’ 2))/๐‘› ร— 180ยฐ Interior angle = (1โˆ’2/๐‘›) ร— 180ยฐ For the interior angle to be minimum, (1โˆ’2/๐‘›) should be minimum. The value of the interior angle will keep on increasing as the number of sides increases Thus the minimum interior angle possible for a regular polygon is 60ยฐ Ex 3.2, 6 (b) What is the maximum exterior angle possible for a regular polygon? We know that Sum of angles of a Regular Polygon = Number of sides ร— Exterior angle 360ยฐ = n ร— Exterior angle (360ยฐ)/๐‘› = Exterior angle Exterior angle = (360ยฐ)/๐‘› For exterior angle to be maximum, (1/๐‘›) Should be minimum. The Measure of the exterior angle will decrease as number of sides increases โˆด Maximum exterior angle possible for a regular Polygon is 120ยฐ

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.