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The Angles of a Pentagon Are in the Ratio 4: 8: 6: 4: 5. Find Each Angle of the Pentagon - Mathematics

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प्रश्न

The angles of a pentagon are in the ratio 4: 8: 6: 4: 5.
Find each angle of the pentagon.

बेरीज

उत्तर

Let the angles of the pentagon are 4x, 8x, 6x, 4x and 5x.
Thus we can write 
4x + 8x+ 6x + 4x +5x = 540°
                             27x =540°
                                 x = 20°

Hence the angles of the pentagon are:
4 × 20° = 80° ,
8 × 20°= 160° ,
6 × 20°= 120° ,
4 × 20°= 80° ,
5 × 20°= 100° 

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Names of Polygons
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पाठ 14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 14 (A) [पृष्ठ १६८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 14 (A) | Q 2 | पृष्ठ १६८
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