Question

x = 4, y = 3
x = 4, y = 9
(4x + 18)°
(11y + 47)°
(8y + 74)°
(7x + 6)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So we can set up equations based on the pairs of vertical angles.
We have two pairs of vertical angles:
Pair 1: \(4x + 18=7x+6\)
Subtract \(4x\) from both sides: \(18 = 3x+6\)
Subtract 6 from both sides: \(12 = 3x\)
Divide both sides by 3: \(x = 4\)
Pair 2: \(11y + 47=8y+74\)
Subtract \(8y\) from both sides: \(3y+47 = 74\)
Subtract 47 from both sides: \(3y=27\)
Divide both sides by 3: \(y = 9\)

Answer:

\(x = 4,y = 9\)