Question

Given the figure below, find the values of x and z.(12x + 59)95°20

Answer 1

Given the figure of two intersected lines

As we know, the vertical angles are congruent

So,

`12x+59=95`

Solve for x:

`\begin{gathered} 12x=95-59 \\ 12x=36 \\ x=(36)/(12) \\ x=3 \end{gathered}`

Now, we will find the value of z:

The angles z and 95 are supplementary angles

The sum of the angles = 180

So,

`\begin{gathered} z+95=180 \\ z=180-95 \\ z=85 \end{gathered}`

So, the answer will be:

`\begin{gathered} x=3 \\ z=85 \end{gathered}`