Book: NCERT - Mathematics
Chapter: 3. Understanding Quadrilaterals
Subject: Maths - Class 8th
Q. No. 6 of Exercises 3.2
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What is the minimum interior angle possible for a regular polygon? Why?
To find the maximum exterior angle of a regular polygon, we will have to take the lowest possible number of sides (i.e., an equilateral triangle).
Now,
The exterior angle of this triangle will be the maximum exterior angle possible for any regular polygon
Exterior angle of an equilateral triangle = 360o/3
= 120o
Hence, the maximum possible measure of exterior angle for any polygon is 120o.
And, we know that an exterior angle and an interior angle are always in a linear pair
Hence, minimum interior angle = 180o − 120°
= 60o
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