Question

1. find the values of x and y.

x =

y =

Explanation:

Step1: Set equal vertical angles

$x + 64 = 5x$

Step2: Solve for x

$64 = 5x - x$
$64 = 4x$
$x = \frac{64}{4} = 16$

Step3: Find y using supplementary angles

$y + 5x = 180$
Substitute $x=16$:
$y + 5(16) = 180$
$y + 80 = 180$
$y = 180 - 80 = 100$

Answer:

$x = 16$
$y = 100$