Question

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

Answer 1

z = 109 x = 12

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
`109+(8x-25)=108`

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 ->
`8x=96`.

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

So x is 12.

Answer 2

X=12 and z=109

Explanation:

z has the same degree measure as the Angle across from it of 109 degrees.

to solve for x we first have to subtract 109 from 180 since it’s a straight angle to get 71. then we solve for the equation 8x-25 = 71, adding 25 to both sides, 8x=96, dividing 8 by both sides, to get x=12