abcd is a parallelogram. if ab is equal to 2x+1 and cd is equal to x +13,findx
If ABCD is a parallelogram, then opposite sides are equal, or AB=CD.
Equate their lengths and solve for x.
To find the value of x in the given parallelogram abcd, we can use the property that opposite sides of a parallelogram are equal in length.
Since ab and cd are opposite sides of the parallelogram, we can equate their lengths:
ab = cd
The values given are:
ab = 2x + 1
cd = x + 13
Substituting these values into the equation, we have:
2x + 1 = x + 13
Now, let's solve for x. Start by subtracting x from both sides of the equation:
2x - x + 1 = x - x + 13
x + 1 = 13
Next, subtract 1 from both sides to isolate x:
x + 1 - 1 = 13 - 1
x = 12
Therefore, the value of x is 12.