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

7 Find The Value Of X For Which ABCD Must Be A Parallelogramx384x 1º class=

Answer :

Given the figure of parallelogram ABCD

The shown angles are congruent because they are alternative angles.

so, we can write the following equation:

[tex]4x-1=x+38[/tex]

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

[tex]\begin{gathered} 4x-x=38+1 \\ 3x=39 \\ x=\frac{39}{3}=13 \end{gathered}[/tex]

So, the answer will be x = 13

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