Question

given the figure below, find the value. (8x + 37)° (5x + 64)° z° x = z =

Explanation:

Step1: Set equal vertical - angles

$8x + 37=5x + 64$

Step2: Solve for x

$8x-5x=64 - 37$, $3x = 27$, $x = 9$

Step3: Find z

$z=180-(8x + 37)$, substitute $x = 9$, $z=180-(8\times9 + 37)=180-(72 + 37)=71$

Answer:

$x = 9$
$z = 71$