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Find the measure of each angle of a regular octagon. - Mathematics

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Question

Find the measure of each angle of a regular octagon.

Sum

Solution

Number of sides (n) in octagon = 8

Now, the sum of interior angles of a regular octagon = (n – 2) × 180°

= (8 – 2) × 180°

= 6 × 180°

= 1080°

Since, the octagon is regular, measure of each angle = `1080^circ/8` = 135°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 160]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 167 | Page 160

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