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What is the sum of all the angles of a pentagon? - Mathematics

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Question

What is the sum of all the angles of a pentagon?

Options

  • 180°

  • 360°

  • 540°

  • 720°

MCQ

Solution

540°

Explanation:

We know that, the sum of angles of a polygon is (n – 2) × 180°, where n is the number of sides of the polygon.

In pentagon, n = 5

Sum of the angles = (n – 2) × 180°

= (5 – 2) × 180°

= 3 × 180° 

= 540°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 146]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 14. | Page 146

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