Question

calculator
the lines s and t intersect at point r.
what is the value of y?
enter your answer in the box.
y = \square

Explanation:

Step1: Identify vertical angles property

Vertical angles are equal, so set the expressions equal:
$4y - 8 = 79 + y$

Step2: Isolate y terms

Subtract $y$ from both sides:
$4y - y - 8 = 79$
$3y - 8 = 79$

Step3: Isolate the y term

Add 8 to both sides:
$3y = 79 + 8$
$3y = 87$

Step4: Solve for y

Divide both sides by 3:
$y = \frac{87}{3}$

Answer:

$y = 29$