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°.