Question

given m ∥ n, find the value of x and y.

Explanation:

Step1: Set up linear pair equation

$(9x+2) + (3x-14) = 180$

Step2: Simplify and solve for $x$

$12x - 12 = 180$
$12x = 192$
$x = \frac{192}{12} = 16$

Step3: Find $y$ using vertical angles

$y = 9x+2$
Substitute $x=16$: $y = 9(16)+2 = 144+2 = 146$

Answer:

$x=16$, $y=146$