Question

calculator
the lines s and t intersect at point r.
what is the value of y?
enter your answer in the box.
y =
(4y - 8)° r (79 + y)°

Explanation:

Step1: Identify vertical angles

When two lines intersect, vertical angles are equal. So, \(4y - 8 = 79 + y\).

Step2: Solve for y

Subtract \(y\) from both sides: \(4y - y - 8 = 79 + y - y\) → \(3y - 8 = 79\).
Add 8 to both sides: \(3y - 8 + 8 = 79 + 8\) → \(3y = 87\).
Divide by 3: \(y = \frac{87}{3}\) → \(y = 29\).

Answer:

29