Given the figure below, find the value of x and z.

z = 109 x = 12

Step-by-step explanation:

Well z is is very simple it is 109 because 109 and a are opposite from each other so they are the same.

But to find x some math is needed.

We know that 109 and (8x-25) are summplementary angles meaning they add up to 180.

So we can set up the following equation

So we have to combine like terms meaning adding -25 and 109 which is 84.

And we also have to put the whole numbers on one side so we so 180-84 which is 96.

Now our equation looks like this -> .

And to get x by itself we do 96÷8 which is 12.

So x is 12.