Question

Given the figure below find the values of x and z

Answer 1

So starting with the x variable:

Using the vertical angles theorem, we can make the equation
`15x-44=91` and solve from there.

Add 44 on each side to get
`15x=135`

Divide 15 on each side to get
`x=9`


Next with the Z variable:

Using the linear pair theorem, we can make the equation
`91+z=180` and solve.

Just subtract 91 on each side to get
`z=89` .