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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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Question

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

Sum

Solution

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
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Chapter 14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 14 (A) [Page 168]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 14 (A) | Q 3 | Page 168
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