Question

In the figure below, k || 1 and m || n. Find the values of x and z.

Answer 1

As shown in the figure m // n

the angles x and 63 are exterior supplementary angles

So, x + 63 = 180

so, x = 180 - 63 = 117

and the angles 63 and ( 4z - 29 ) are congruent

so,

$\begin{gathered} 4z-29=63 \\ 4z=63+29 \\ 4z=92 \\ \\ z=\frac{92}{4}=23 \end{gathered}$

So, the answer is :

$\begin{gathered} x=117 \\ \\ z=23 \end{gathered}$