ABCD is a parallelogram. If AB is equal to 2x + 1 and CD is equal to x + 13, find x
Hint: AB is congruent to CD.
2x + 1 = x + 13
Solve.
12
To find the value of x in this problem, we can use the fact that opposite sides of a parallelogram are equal in length.
We have given that AB = 2x + 1 and CD = x + 13.
Since opposite sides AB and CD are equal, we can set up an equation:
2x + 1 = x + 13
To solve this equation for x, we will isolate the variable.
First, subtract x from both sides:
2x - x + 1 = x - x + 13
This simplifies to:
x + 1 = 13
Next, we can isolate x by subtracting 1 from both sides:
x + 1 - 1 = 13 - 1
Which gives us:
x = 12
Therefore, the value of x is 12.