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.

probably the last option

step-by-step explanation:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.