Question

find the values of x and y. 4x° (7y - 12)° (6y + 8)° (6x - 26)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, we have two equations:
$4x=6x - 26$ and $7y-12 = 6y + 8$.

Step2: Solve the equation for x

Starting with $4x=6x - 26$, subtract $4x$ from both sides:
$0=6x-4x - 26$, which simplifies to $0 = 2x-26$.
Then add 26 to both sides: $2x=26$.
Divide both sides by 2: $x = 13$.

Step3: Solve the equation for y

Starting with $7y-12 = 6y + 8$, subtract $6y$ from both sides:
$7y-6y-12=6y-6y + 8$, which simplifies to $y-12 = 8$.
Add 12 to both sides: $y=20$.

Answer:

$x = 13$, $y = 20$