Question

Find the value of x for which ABCD must be a parallelogram.

Answer 1

Answer:

The value of x is:

                         $x=9$

Step-by-step explanation:

We know that a parallelogram is a polygon with two pair of parallel sides which are congruent.

Based on the figure we get that side AD is congruent to side BC.

This means that:

  $x+26=4x-1$

on subtracting x from both the sides of the equation we have:

$4x-x-1=26\\\\3x-1=26$

Now on adding 1 on both the sides of the equation we have:

$3x=26+1\\\\3x=27\\\\x=\dfrac{27}{3}\\\\x=9$

Answer 2

4x-1=x+26
3x-1=26
3x=27
x=9
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