Question

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

Answer 1

Answer:

the opposite sides of a parallelogram is equal

so DC=AB

5x-1 = 3x+5

5x-3x = 5+1

2x = 6

x = 6/2

x = 3

hope the answer will help you. plz mark my answer as brainliest answer

thank you

Answer 2

Answer:

x = 3

Step-by-step explanation:

We know that if ABCD is a parallelogram then the opposite sides are equal , i.e ; AB = CD

Applying the above property of parallelogram,

AB = CD

Given,

AB = 3x + 5

CD = 5x - 1

3x + 5 = 5x - 1

3x - 5x = - 5 - 1

-2x = -6

2x = 6

x = 3

$\boxed{\rm The \: value \: of \: x \: = \: 3}$

Properties of a parallelogram:-

1. Opposite sides of a parallelogram are equal
2. The opposite sides are parallel as well
3. Opposite angles are equal
4. Adjacent angles are supplementary to each other