Question

given the figure below, find the values of x and z.

Explanation:

Step1: Set equal vertical angles

$12x + 51 = 99$

Step2: Solve for x

$12x = 99 - 51$
$12x = 48$
$x = \frac{48}{12} = 4$

Step3: Identify vertical angle for z

$z = 99$

Answer:

$x=4$, $z=99$