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In the Following Figures, Abcd is a Parallelogram. Find the Values of X and Y. - Mathematics

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प्रश्न

In the following figures, ABCD is a parallelogram.

find the values of x and y.

बेरीज

उत्तर

ABCD is a parallelogram.
Therefore
AD = BC
AB = DC
Thus
4y = 3x - 3                ....[ Since AD = BC ]
⇒ 3x - 4y = 3            ....(i)
6y + 2 = 4x               ....[ Since AB = DC ]
⇒  4x - 6y = 2           ....(ii)

Solving equations (i) and (ii) we have
x = 5
y = 3.

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Types of Quadrilaterals
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 14 (B) [पृष्ठ १७६]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 14 (B) | Q 7.1 | पृष्ठ १७६

संबंधित प्रश्‍न

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:

  1. ABCD is a square
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[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]


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