The value of x that would make ABCD a parallelogram is x = 13.
What is Parallelogram?
A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
There are six important properties of parallelograms as :
Opposite sides of parallelogram are congruent.
Opposite angels of parallelogram are congruent.
Consecutive angles of parallelogram are supplementary.
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent
We have given that,
ABCD must be a parallelogram
x + 38 = 4x - 1
Substract x from both the sides
38 = 3x - 1
39 = 3x
39/3 = x
Divided by 3 both the sides
13 = x or
x = 13
13 + 38 = 4(13) - 1
52 = 52
Hence, the value of x that would make ABCD a parallelogram is x = 13.
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