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Three Angles of a Seven-sided Polygon Are 132o Each and the Remaining Four Angles Are Equal. Find the Value of Each Equal Angle - Mathematics

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प्रश्न

Three angles of a seven-sided polygon are 132o each and the remaining four angles are equal. Find the value of each equal angle.

बेरीज

उत्तर

Let the measure of each equal angles are x.

Then we can write:

3 × 132° + 4x = (2 × 7 - 4) 90°

4x = 900° - 396°

4x = 504°

x = `(504°)/4`

x = 126°

Thus the measure of each equal angles are 126°.

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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 5 | पृष्ठ १६९
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