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Find the measure of each angle of a regular polygon of 20 sides? - Mathematics

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Question

Find the measure of each angle of a regular polygon of 20 sides?

Sum

Solution

We know that, the sum of interior angles of an n polygon = (n – 2) × 180°

Here, n = 20, then

Sum = (20 – 2) × 180°

= 18 × 180° 

= 3240°

∴ The measure of each interior angle = `3240^circ/20` = 162°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 163]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 201 | Page 163

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