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Understanding Quadrilaterals — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSUnderstanding Quadrilaterals2 Marks
Question
(i) What is the minimum interior angle possible for a regular polygon? Why?
(ii) What is the maximum exterior angle possible for a regular polygon?
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Answer

(i) We know that a regular polygon is both equiangular and equilateral i.e. a regular polygon has all sides and all angles are equal. So, the equilateral triangle is a regular polygon of 3 sides and the minimum interior angle is $60^{\circ}$.
(ii) Since, an equilateral triangle has minimum interior angles, so the maximum exterior angle possible for a regular polygon $=180^{\circ}-60^{\circ}=120^{\circ}$.

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