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Two Angles of an Eight Sided Polygon Are 142o and 176o. If the Remaining Angles Are Equal to Each Other; Find the Magnitude of Each of the Equal Angles - Mathematics

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प्रश्न

Two angles of an eight-sided polygon are 142o and 176o. If the remaining angles are equal to each other; find the magnitude of each of the equal angles. 

बेरीज

उत्तर

Let the measure of each equal sides of the polygon is x.
Then we can write:
142° + 176° + 6 x = ( 2 x 8 - 4 ) 90°
6 x = 1080° - 318°
6 x = 762°
x = 127°
Thus the measure of each equal angles are 127°.

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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 १६९]

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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 6 | पृष्ठ १६९
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