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One Angle of a Six-sided Polygon is 140o And the Other Angles Are Equal. Find the Measure of Each Equal Angle - Mathematics

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प्रश्न

One angle of a six-sided polygon is 140o and the other angles are equal.
Find the measure of each equal angle.

बेरीज

उत्तर

Let the measure of each equal angles are x.
Then we can write
140° + 5x = ( 2 x 6 - 4 ) x 90°
140° + 5x = 720°
           5x = 580°
             x = 116°
Therefore the measure of each equal angles are 116°

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Names of Polygons
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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 3 | पृष्ठ १६८
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