Question

consider the pair of intersecting lines below. the figure is not necessarily drawn to scale. find the value of y.
hint: vertical angles are congruent. set the angles equal to each other and solve (8y - 1 = 11y - 10).
intersecting lines
a
b
8y - 1
11y - 10
d
c
a y = 10
b y = 17
c y = 3

Explanation:

Step1: Set up the equation

Since vertical angles are congruent, we set \(8y - 1=11y - 10\).

Step2: Solve for \(y\)

Subtract \(8y\) from both sides: \(-1 = 3y-10\).
Add \(10\) to both sides: \(9 = 3y\).
Divide both sides by \(3\): \(y = 3\).

Answer:

C. \(y = 3\)