Question

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

Answer 1

`x\text{ = 25}`

Step-by-step 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:

`\begin{gathered} 2x\text{ + 130 = 180} \\ 2x\text{ = 180-130} \\ 2x\text{ = 50} \\ x\text{ = }(50)/(2) \\ x\text{ = 25} \end{gathered}`