Respuesta :

dpatroni
11x + 7x = 180

When solved, x = 10.
Plug in the x to find the angle measurements
carlosego

For this case we have that the sum of the internal angles of a quadrilateral is 360 degrees.

As we are told that the pairs of sides are congruent we have:

[tex]7x + 11x + 7x + 11x = 360\\36x = 360\\x = \frac {360} {36}\\x = 10[/tex]

So, x = 10.

So:

[tex]7x = 7 (10) = 70 \ degrees\\11x = 11 (10) = 110 \ degrees[/tex]

Answer:

[tex]x = 10[/tex]