Answer:
The value of x is 11.
Step-by-step explanation:
We can see from the diagram attached that the 9x° and the (7x+4)° are co-interior angles.
The reason is that, the two bases of the trapezoid are parallel.
Co-interior anlges or same side interior angles are supplementary.
This implies that:
[tex]9x + (7x + 4) = 180[/tex]
[tex]9x + 7x = 180 - 4[/tex]
[tex]16x = 176[/tex]
[tex]x = \frac{176}{16} [/tex]
[tex]x = 11[/tex]
