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Find the Number of Sides in a Regular Polygon, If Its Interior Angle Is: 1 1/5 of a Right Angle - Mathematics

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Question

Find the number of sides in a regular polygon, if its interior angle is: `1 1/5` of a right angle

Sum

Solution

No. of. sides = n

Each interior angle = `1 1/5` right angles

= `6/5 xx 90`

= 108°

`therefore ("n" - 2)/"n" xx 180^circ = 108^circ`

180n - 360° = 108n

180n - 108n = 360°

72n = 360°

n = 5

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Regular Polynomial
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Chapter 16: Understanding Shapes - Exercise 16 (B) [Page 184]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 2.3 | Page 184
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