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Find the Sum of Exterior Angle Obtained on Producing, in Order, the Side of a Polygon with : 10 Sides - Mathematics

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Sum

Find the sum of exterior angle obtained on producing, in order, the side of a polygon with : 10 sides

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Solution

No. of sides n = 10

Sum of interior & exterior angles at one vertex = 180°

Sum of all interior & exterior angles = 10 × 180° = 1800°

Sum of interior angles = (n - 2) × 180°

= (10 - 2) × 180°

= 1440°

∴ Sum of exterior angles = 1800° - 1440° = 360°

Concept: Sum of Exterior Angles of a Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (A) | Q 6.2 | Page 181
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