Question

7. Find the value of x for which ABCD must be a parallelogram.(x+38)°(4x - 1)º

Answer 1

Given the figure of parallelogram ABCD

The shown angles are congruent because they are alternative angles.

so, we can write the following equation:

`4x-1=x+38`

Solve the equation to find x, and combine the like terms:

`\begin{gathered} 4x-x=38+1 \\ 3x=39 \\ x=(39)/(3)=13 \end{gathered}`

So, the answer will be x = 13