Find the value of x that makes ABCD a parallelogram.1302x1305O A. 45O B. 65O 0 0 0C. 50O D. 25

Answer:
[tex]x\text{ = 25}[/tex]Explanation:
Here, we want to find the value of x that makes the given quadrilateral a parallelogram
Mathematically, for a parallelogram,opposite edges have equal angles
Thus, the vertex at A is 2x too
The sum of angles on a side containing two vertices is 180
Thus:
[tex]\begin{gathered} 2x\text{ + 130 = 180} \\ 2x\text{ = 180-130} \\ 2x\text{ = 50} \\ x\text{ = }\frac{50}{2} \\ x\text{ = 25} \end{gathered}[/tex]