Question

In the given figure, ABCD is a parallelogram. Find x.

Answer 1

Given :-

• Opposite sides of parallelogram one is 5x -1 and second is 3x + 5

To find : value of x

SolutioN:-

We know that, Opposite sides of parallelogram are equal .

So,

⇢5x -1 = 3x + 5 -----➊

⇢ 5x - 3x = 5 + 1

⇢ 2x = 6

⇢ x = 6/ 2

⇢ x = 3

Verification:-

• Put the values in equation ➊

⇢5x -1 = 3x + 5

⇢ 5 × 3 -1 = 3 ×3 + 5

⇢ 15 -1 = 9 +5

⇢ 14 = 14

Hence verified

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Answer 2

Answer:

The value of " x = 3 "

Step-by-step explanation:

Given :- figure . $l(AB) = 3x+5 , l(CD) = 5x-1$

To find :- Value of ' x ' .

Solution :-

Step 1) We know by the property of parallelogram , that " length of the sides of the parallelogram . "

Step 2) Therefore , $l(AB) = l ( CD)$

solving for ' x ' .

$3x+5 = 5x-1 \\-2x = -6 \\x = 3$

Thus , The value of " x = 3 " .

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