Question

Find the value of x. then find the measure of each labeled angle. simplify your answer.

Answer 1

11x + 7x = 180

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

Answer 2

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:

`7x + 11x + 7x + 11x = 360\\36x = 360\\x = \frac {360} {36}\\x = 10`

So, x = 10.

So:

`7x = 7 (10) = 70 \ degrees\\11x = 11 (10) = 110 \ degrees`

Answer:

`x = 10`