Question

find the value of x

Answer 1

84 degrees is the answer

Answer 2

First, lets assign label to the interior angles of the triangle.
Since angle 130° and angle A are on the same straight line, they are supplementary angles; therefore:
$130+A=180$
$A=180-130$
$A=50$

Next, angle B and angle 134° are also on the same straight line, so they are supplementary as well, which means:
$B+134=180$
$B=180-134$
$B=46$

Now, to find angle C remember that the sum of the interior angles of a triangle is 180°; therefore:
$A+B+C=180$
$50+46+C=180$
$C=180-50-46$
$C=84$

Finally, we also know that angle $x$ and angle C are on the same line, so they are supplementary angles just like before; therefore:
$x+C=180$
$x+84=180$
$x=180-84$
$x=96$

We can conclude that the measure of our angle $x$ is 96°.